102113133012 has 72 divisors (see below), whose sum is σ = 286357387680. Its totient is φ = 30418902720.

The previous prime is 102113132987. The next prime is 102113133041. The reversal of 102113133012 is 210331311201.

102113133012 is digitally balanced in base 3, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2161903 + ... + 2208630.

It is an arithmetic number, because the mean of its divisors is an integer number (3977185940).

Almost surely, 2^102113133012 is an apocalyptic number.

102113133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102113133012 is an abundant number, since it is smaller than the sum of its proper divisors (184244254668).

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

102113133012 is a wasteful number, since it uses less digits than its factorization.

102113133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370613 (or 4370608 counting only the distinct ones).

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

Adding to 102113133012 its reverse (210331311201), we get a palindrome (312444444213).

The spelling of 102113133012 in words is "one hundred two billion, one hundred thirteen million, one hundred thirty-three thousand, twelve".