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13121313022100 = 2252798320011153
BaseRepresentation
bin1011111011110000101100…
…1100111010000010010100
31201110101101212100120111002
42332330023030322002110
53204434422113201400
643523503055402432
72522661240311513
oct276741314720224
951411355316432
1013121313022100
1141a9799146848
12157abb9223418
13742446bb9a2a
143351098bc67a
1517b4aea50ed5
hexbef0b33a094

13121313022100 has 72 divisors (see below), whose sum is σ = 29181065208960. Its totient is φ = 5119653127680.

The previous prime is 13121313022099. The next prime is 13121313022163. The reversal of 13121313022100 is 122031312131.

It is a happy number.

13121313022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9349877 + ... + 10661276.

Almost surely, 213121313022100 is an apocalyptic number.

13121313022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121313022100 is an abundant number, since it is smaller than the sum of its proper divisors (16059752186860).

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

13121313022100 is a wasteful number, since it uses less digits than its factorization.

13121313022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20011329 (or 20011322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13121313022100 its reverse (122031312131), we get a palindrome (13243344334231).

The spelling of 13121313022100 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirteen million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 83 100 158 166 316 332 395 415 790 830 1580 1660 1975 2075 3950 4150 6557 7900 8300 13114 26228 32785 65570 131140 163925 327850 655700 20011153 40022306 80044612 100055765 200111530 400223060 500278825 1000557650 1580881087 1660925699 2001115300 3161762174 3321851398 6323524348 6643702796 7904405435 8304628495 15808810870 16609256990 31617621740 33218513980 39522027175 41523142475 79044054350 83046284950 131213130221 158088108700 166092569900 262426260442 524852520884 656065651105 1312131302210 2624262604420 3280328255525 6560656511050 13121313022100