102112031213 has 16 divisors (see below), whose sum is σ = 107182123776. Its totient is φ = 97095841920.

The previous prime is 102112031191. The next prime is 102112031249. The reversal of 102112031213 is 312130211201.

It is a cyclic number.

It is not a de Polignac number, because 102112031213 - 2²⁶ = 102044922349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112031191 and 102112031200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112030213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3366431 + ... + 3396627.

It is an arithmetic number, because the mean of its divisors is an integer number (6698882736).

Almost surely, 2^102112031213 is an apocalyptic number.

It is an amenable number.

102112031213 is a deficient number, since it is larger than the sum of its proper divisors (5070092563).

102112031213 is a wasteful number, since it uses less digits than its factorization.

102112031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31084.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102112031213 its reverse (312130211201), we get a palindrome (414242242414).

The spelling of 102112031213 in words is "one hundred two billion, one hundred twelve million, thirty-one thousand, two hundred thirteen".