311132013113313 has 48 divisors (see below), whose sum is σ = 540810303646080. Its totient is φ = 168381526021632.

The previous prime is 311132013113293. The next prime is 311132013113329. The reversal of 311132013113313 is 313311310231113.

311132013113313 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 32 + 0 + 1 + 311 + 3 + 313 = 666.

It is not a de Polignac number, because 311132013113313 - 2³² = 311127718146017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311132013114313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35262606 + ... + 43193927.

It is an arithmetic number, because the mean of its divisors is an integer number (11266881325960).

Almost surely, 2^{311132013113313} is an apocalyptic number.

It is an amenable number.

311132013113313 is a deficient number, since it is larger than the sum of its proper divisors (229678290532767).

311132013113313 is a wasteful number, since it uses less digits than its factorization.

311132013113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78459878 (or 78459875 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 311132013113313 its reverse (313311310231113), we get a palindrome (624443323344426).

The spelling of 311132013113313 in words is "three hundred eleven trillion, one hundred thirty-two billion, thirteen million, one hundred thirteen thousand, three hundred thirteen".