31132311323013 has 8 divisors (see below), whose sum is σ = 46121942700800. Its totient is φ = 20754874215324.

The previous prime is 31132311322997. The next prime is 31132311323033. The reversal of 31132311323013 is 31032311323113.

31132311323013 is a `hidden beast` number, since 3 + 1 + 1 + 323 + 1 + 1 + 32 + 301 + 3 = 666.

It is not a de Polignac number, because 31132311323013 - 2⁴ = 31132311322997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1153048567519 = 31132311323013 / (3 + 1 + 1 + 3 + 2 + 3 + 1 + 1 + 3 + 2 + 3 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132311323033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576524283733 + ... + 576524283786.

It is an arithmetic number, because the mean of its divisors is an integer number (5765242837600).

Almost surely, 2^{31132311323013} is an apocalyptic number.

It is an amenable number.

31132311323013 is a deficient number, since it is larger than the sum of its proper divisors (14989631377787).

31132311323013 is a wasteful number, since it uses less digits than its factorization.

31132311323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153048567528 (or 1153048567522 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31132311323013 its reverse (31032311323113), we get a palindrome (62164622646126).

The spelling of 31132311323013 in words is "thirty-one trillion, one hundred thirty-two billion, three hundred eleven million, three hundred twenty-three thousand, thirteen".