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13121311303320 = 23351148720411473
BaseRepresentation
bin1011111011110000101100…
…0110010110011010011000
31201110101101202010020202120
42332330023012112122120
53204434421143201240
643523502554501240
72522661216562503
oct276741306263230
951411352106676
1013121311303320
1141a9798182470
12157abb8734820
137424467375bc
1433510959213a
1517b4ae811ad0
hexbef0b196698

13121311303320 has 128 divisors (see below), whose sum is σ = 43030653027840. Its totient is φ = 3174392125440.

The previous prime is 13121311303283. The next prime is 13121311303351. The reversal of 13121311303320 is 2330311312131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9562897 + ... + 10848576.

It is an arithmetic number, because the mean of its divisors is an integer number (336176976780).

Almost surely, 213121311303320 is an apocalyptic number.

13121311303320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121311303320 is an abundant number, since it is smaller than the sum of its proper divisors (29909341724520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13121311303320 is a wasteful number, since it uses less digits than its factorization.

13121311303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20411985 (or 20411981 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13121311303320 its reverse (2330311312131), we get a palindrome (15451622615451).

The spelling of 13121311303320 in words is "thirteen trillion, one hundred twenty-one billion, three hundred eleven million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 487 660 974 1320 1461 1948 2435 2922 3896 4870 5357 5844 7305 9740 10714 11688 14610 16071 19480 21428 26785 29220 32142 42856 53570 58440 64284 80355 107140 128568 160710 214280 321420 642840 20411473 40822946 61234419 81645892 102057365 122468838 163291784 204114730 224526203 244937676 306172095 408229460 449052406 489875352 612344190 673578609 816458920 898104812 1122631015 1224688380 1347157218 1796209624 2245262030 2449376760 2694314436 3367893045 4490524060 5388628872 6735786090 8981048120 9940387351 13471572180 19880774702 26943144360 29821162053 39761549404 49701936755 59642324106 79523098808 99403873510 109344260861 119284648212 149105810265 198807747020 218688521722 238569296424 298211620530 328032782583 397615494040 437377043444 546721304305 596423241060 656065565166 874754086888 1093442608610 1192846482120 1312131130332 1640163912915 2186885217220 2624262260664 3280327825830 4373770434440 6560655651660 13121311303320