10031332013312 has 144 divisors (see below), whose sum is σ = 21257821079040. Its totient is φ = 4714227302400.

The previous prime is 10031332013299. The next prime is 10031332013321. The reversal of 10031332013312 is 21331023313001.

10031332013312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10031332013312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 373162112 + ... + 373188992.

Almost surely, 2^{10031332013312} 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 10031332013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628910539520).

10031332013312 is an abundant number, since it is smaller than the sum of its proper divisors (11226489065728).

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

10031332013312 is a wasteful number, since it uses less digits than its factorization.

10031332013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28020 (or 28006 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10031332013312 its reverse (21331023313001), we get a palindrome (31362355326313).

The spelling of 10031332013312 in words is "ten trillion, thirty-one billion, three hundred thirty-two million, thirteen thousand, three hundred twelve".