102013113120 has 96 divisors (see below), whose sum is σ = 340243763328. Its totient is φ = 25603289088.

The previous prime is 102013113101. The next prime is 102013113131. The reversal of 102013113120 is 21311310201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×102013113120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102013113120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6242644 + ... + 6258963.

It is an arithmetic number, because the mean of its divisors is an integer number (3544205868).

Almost surely, 2^102013113120 is an apocalyptic number.

102013113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013113120 is an abundant number, since it is smaller than the sum of its proper divisors (238230650208).

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

102013113120 is a wasteful number, since it uses less digits than its factorization.

102013113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501642 (or 12501634 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102013113120 its reverse (21311310201), we get a palindrome (123324423321).

The spelling of 102013113120 in words is "one hundred two billion, thirteen million, one hundred thirteen thousand, one hundred twenty".