1311531138912 has 24 divisors (see below), whose sum is σ = 3442769239896. Its totient is φ = 437177046272.

The previous prime is 1311531138817. The next prime is 1311531138913. The reversal of 1311531138912 is 2198311351131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1311531138912² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311531138913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6830891253 + ... + 6830891444.

It is an arithmetic number, because the mean of its divisors is an integer number (143448718329).

Almost surely, 2^{1311531138912} is an apocalyptic number.

1311531138912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311531138912 is an abundant number, since it is smaller than the sum of its proper divisors (2131238100984).

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

1311531138912 is a wasteful number, since it uses less digits than its factorization.

1311531138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13661782710 (or 13661782702 counting only the distinct ones).

The product of its digits is 19440, while the sum is 39.

The spelling of 1311531138912 in words is "one trillion, three hundred eleven billion, five hundred thirty-one million, one hundred thirty-eight thousand, nine hundred twelve".