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1313133010200 = 2332521166319849
BaseRepresentation
bin10011000110111100110…
…100111001110100011000
311122112102111102111101100
4103012330310321310120
5133003244022311300
62443124525351400
7163604442265014
oct23067464716430
94575374374340
101313133010200
11466995395130
121925b1708560
1396a9bbc9aab
14477ad859544
1524256d9c700
hex131bcd39d18

1313133010200 has 144 divisors (see below), whose sum is σ = 4810841919000. Its totient is φ = 318335270400.

The previous prime is 1313133010187. The next prime is 1313133010207. The reversal of 1313133010200 is 20103313131.

It is a happy number.

1313133010200 is a `hidden beast` number, since 1 + 3 + 131 + 330 + 1 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313133010207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33140125 + ... + 33179724.

Almost surely, 21313133010200 is an apocalyptic number.

1313133010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313133010200 is an abundant number, since it is smaller than the sum of its proper divisors (3497708908800).

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

1313133010200 is a wasteful number, since it uses less digits than its factorization.

1313133010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66319882 (or 66319870 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313133010200 its reverse (20103313131), we get a palindrome (1333236323331).

The spelling of 1313133010200 in words is "one trillion, three hundred thirteen billion, one hundred thirty-three million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 66319849 132639698 198959547 265279396 331599245 397919094 530558792 596878641 663198490 729518339 795838188 994797735 1193757282 1326396980 1459036678 1591676376 1657996225 1989595470 2188555017 2387514564 2652793960 2918073356 2984393205 3315992450 3647591695 3979190940 4377110034 4775029128 4973988675 5836146712 5968786410 6565665051 6631984900 7295183390 7958381880 8754220068 9947977350 10942775085 11937572820 13131330102 13263969800 14590366780 14921966025 17508440136 18237958475 19895954700 21885550170 23875145640 26262660204 29180733560 29843932050 32828325255 36475916950 39791909400 43771100340 52525320408 54713875425 59687864100 65656650510 72951833900 87542200680 109427750850 119375728200 131313301020 145903667800 164141626275 218855501700 262626602040 328283252550 437711003400 656566505100 1313133010200