102113321310 has 192 divisors, whose sum is σ = 356468636160. Its totient is φ = 19586154240.

The previous prime is 102113321291. The next prime is 102113321347. The reversal of 102113321310 is 13123311201.

102113321310 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 332 + 1 + 310 = 666.

It is a super-2 number, since 2×102113321310² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 476640 + ... + 656819.

It is an arithmetic number, because the mean of its divisors is an integer number (1856607480).

Almost surely, 2^102113321310 is an apocalyptic number.

102113321310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102113321310 is an abundant number, since it is smaller than the sum of its proper divisors (254355314850).

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

102113321310 is a wasteful number, since it uses less digits than its factorization.

102113321310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133503 (or 1133500 counting only the distinct ones).

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

Adding to 102113321310 its reverse (13123311201), we get a palindrome (115236632511).

It can be divided in two parts, 1021 and 13321310, that added together give a palindrome (13322331).

The spelling of 102113321310 in words is "one hundred two billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred ten".