31003132112112 has 160 divisors (see below), whose sum is σ = 83954852545536. Its totient is φ = 9840046796800.

The previous prime is 31003132112053. The next prime is 31003132112123. The reversal of 31003132112112 is 21121123130013.

It is a super-2 number, since 2×31003132112112² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 284924437 + ... + 285033227.

Almost surely, 2^{31003132112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31003132112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41977426272768).

31003132112112 is an abundant number, since it is smaller than the sum of its proper divisors (52951720433424).

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

31003132112112 is a wasteful number, since it uses less digits than its factorization.

31003132112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109999 (or 109993 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 31003132112112 its reverse (21121123130013), we get a palindrome (52124255242125).

The spelling of 31003132112112 in words is "thirty-one trillion, three billion, one hundred thirty-two million, one hundred twelve thousand, one hundred twelve".