10031132112012 has 96 divisors (see below), whose sum is σ = 28476347558400. Its totient is φ = 3028436769600.

The previous prime is 10031132112007. The next prime is 10031132112017. The reversal of 10031132112012 is 21021123113001.

10031132112012 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 321 + 1 + 20 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10031132112007) and next prime (10031132112017).

It is a super-2 number, since 2×10031132112012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10031132112017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15375064 + ... + 16014207.

It is an arithmetic number, because the mean of its divisors is an integer number (296628620400).

Almost surely, 2^{10031132112012} is an apocalyptic number.

10031132112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10031132112012 is an abundant number, since it is smaller than the sum of its proper divisors (18445215446388).

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

10031132112012 is a wasteful number, since it uses less digits than its factorization.

10031132112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31389564 (or 31389556 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10031132112012 its reverse (21021123113001), we get a palindrome (31052255225013).

The spelling of 10031132112012 in words is "ten trillion, thirty-one billion, one hundred thirty-two million, one hundred twelve thousand, twelve".