31322213330013 has 12 divisors (see below), whose sum is σ = 45264447974460. Its totient is φ = 20871667426176.

The previous prime is 31322213329973. The next prime is 31322213330021. The reversal of 31322213330013 is 31003331222313.

31322213330013 is a `hidden beast` number, since 3 + 1 + 3 + 222 + 133 + 300 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2856765898809 + 28465447431204 = 1690197^2 + 5335302^2 .

It is not a de Polignac number, because 31322213330013 - 2⁶ = 31322213329949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322213330033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 817323706 + ... + 817362027.

It is an arithmetic number, because the mean of its divisors is an integer number (3772037331205).

Almost surely, 2^{31322213330013} is an apocalyptic number.

It is an amenable number.

31322213330013 is a deficient number, since it is larger than the sum of its proper divisors (13942234644447).

31322213330013 is a wasteful number, since it uses less digits than its factorization.

31322213330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634687868 (or 1634687865 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31322213330013 its reverse (31003331222313), we get a palindrome (62325544552326).

The spelling of 31322213330013 in words is "thirty-one trillion, three hundred twenty-two billion, two hundred thirteen million, three hundred thirty thousand, thirteen".