312011440132311 has 96 divisors (see below), whose sum is σ = 468668868096000. Its totient is φ = 199882884225024.

The previous prime is 312011440132279. The next prime is 312011440132321. The reversal of 312011440132311 is 113231044110213.

312011440132311 is a `hidden beast` number, since 3 + 1 + 20 + 1 + 1 + 4 + 401 + 3 + 231 + 1 = 666.

It is not a de Polignac number, because 312011440132311 - 2⁵ = 312011440132279 is a prime.

It is a super-2 number, since 2×312011440132311² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312011440132321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30712805250 + ... + 30712815408.

It is an arithmetic number, because the mean of its divisors is an integer number (4881967376000).

Almost surely, 2^{312011440132311} is an apocalyptic number.

312011440132311 is a deficient number, since it is larger than the sum of its proper divisors (156657427963689).

312011440132311 is a wasteful number, since it uses less digits than its factorization.

312011440132311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13773 (or 13770 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 312011440132311 its reverse (113231044110213), we get a palindrome (425242484242524).

The spelling of 312011440132311 in words is "three hundred twelve trillion, eleven billion, four hundred forty million, one hundred thirty-two thousand, three hundred eleven".