102213312031032 has 64 divisors (see below), whose sum is σ = 258418054944000. Its totient is φ = 33687148753920.

The previous prime is 102213312030937. The next prime is 102213312031069. The reversal of 102213312031032 is 230130213312201.

It is a super-2 number, since 2×102213312031032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102213312030993 and 102213312031011.

It is a congruent number.

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, 18892782 + ... + 23693117.

It is an arithmetic number, because the mean of its divisors is an integer number (4037782108500).

Almost surely, 2^{102213312031032} is an apocalyptic number.

102213312031032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213312031032 is an abundant number, since it is smaller than the sum of its proper divisors (156204742912968).

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

102213312031032 is a wasteful number, since it uses less digits than its factorization.

102213312031032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42587036 (or 42587032 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102213312031032 its reverse (230130213312201), we get a palindrome (332343525343233).

The spelling of 102213312031032 in words is "one hundred two trillion, two hundred thirteen billion, three hundred twelve million, thirty-one thousand, thirty-two".