10132131312 has 60 divisors (see below), whose sum is σ = 28620947160. Its totient is φ = 3345807744.

The previous prime is 10132131271. The next prime is 10132131353. The reversal of 10132131312 is 21313123101.

10132131312 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 31 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (10132131271) and next prime (10132131353).

It is a super-2 number, since 2×10132131312² (a number of 21 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 11 ways as a sum of consecutive naturals, for example, 313387 + ... + 344202.

It is an arithmetic number, because the mean of its divisors is an integer number (477015786).

Almost surely, 2^10132131312 is an apocalyptic number.

10132131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132131312 is an abundant number, since it is smaller than the sum of its proper divisors (18488815848).

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

10132131312 is a wasteful number, since it uses less digits than its factorization.

10132131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657710 (or 657701 counting only the distinct ones).

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

Adding to 10132131312 its reverse (21313123101), we get a palindrome (31445254413).

The spelling of 10132131312 in words is "ten billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred twelve".