31133131220313 has 24 divisors (see below), whose sum is σ = 45752148698880. Its totient is φ = 20395133134560.

The previous prime is 31133131220291. The next prime is 31133131220341. The reversal of 31133131220313 is 31302213133113.

31133131220313 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 31 + 312 + 2 + 0 + 313 = 666.

It is not a de Polignac number, because 31133131220313 - 2¹⁶ = 31133131154777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31133131220363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27266281 + ... + 28385142.

It is an arithmetic number, because the mean of its divisors is an integer number (1906339529120).

Almost surely, 2^{31133131220313} is an apocalyptic number.

It is an amenable number.

31133131220313 is a deficient number, since it is larger than the sum of its proper divisors (14619017478567).

31133131220313 is a wasteful number, since it uses less digits than its factorization.

31133131220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55652509 (or 55652506 counting only the distinct ones).

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

Adding to 31133131220313 its reverse (31302213133113), we get a palindrome (62435344353426).

The spelling of 31133131220313 in words is "thirty-one trillion, one hundred thirty-three billion, one hundred thirty-one million, two hundred twenty thousand, three hundred thirteen".