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1312101013302 = 23471351132491
BaseRepresentation
bin10011000101111111010…
…100001001011100110110
311122102202120112121210000
4103011333110021130312
5132444140324411202
62442434302212130
7163540041410502
oct23057724113466
94572676477700
101312101013302
114665058a7632
12192363b84046
1396966168a41
144771277d302
15241e649a91c
hex1317f509736

1312101013302 has 80 divisors (see below), whose sum is σ = 2982428722944. Its totient is φ = 431070822000.

The previous prime is 1312101013291. The next prime is 1312101013357. The reversal of 1312101013302 is 2033101012131.

1312101013302 is a `hidden beast` number, since 1 + 312 + 10 + 10 + 1 + 330 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40367277 + ... + 40399767.

Almost surely, 21312101013302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312101013302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491214361472).

1312101013302 is an abundant number, since it is smaller than the sum of its proper divisors (1670327709642).

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

1312101013302 is a wasteful number, since it uses less digits than its factorization.

1312101013302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36087 (or 36078 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1312101013302 its reverse (2033101012131), we get a palindrome (3345202025433).

The spelling of 1312101013302 in words is "one trillion, three hundred twelve billion, one hundred one million, thirteen thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1278 1917 3511 3834 5751 7022 10533 11502 21066 31599 32491 63198 64982 94797 97473 189594 194946 249281 284391 292419 498562 568782 584838 747843 877257 1495686 1754514 2243529 2306861 2631771 4487058 4613722 5263542 6730587 6920583 13461174 13841166 20191761 20761749 40383522 41523498 62285247 114075901 124570494 186855741 228151802 342227703 373711482 684455406 1026683109 2053366218 3080049327 6160098654 8099388971 9240147981 16198777942 18480295962 24298166913 48596333826 72894500739 145789001478 218683502217 437367004434 656050506651 1312101013302