10031310111312 has 480 divisors, whose sum is σ = 33647710027776. Its totient is φ = 2729711923200.

The previous prime is 10031310111301. The next prime is 10031310111331. The reversal of 10031310111312 is 21311101313001.

10031310111312 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 310 + 1 + 11 + 312 = 666.

It is a super-2 number, since 2×10031310111312² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 524613112 + ... + 524632232.

Almost surely, 2^{10031310111312} is an apocalyptic number.

10031310111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031310111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823855013888).

10031310111312 is an abundant number, since it is smaller than the sum of its proper divisors (23616399916464).

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

10031310111312 is a wasteful number, since it uses less digits than its factorization.

10031310111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19439 (or 19430 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10031310111312 its reverse (21311101313001), we get a palindrome (31342411424313).

The spelling of 10031310111312 in words is "ten trillion, thirty-one billion, three hundred ten million, one hundred eleven thousand, three hundred twelve".