31352133125313 has 144 divisors (see below), whose sum is σ = 61943285791296. Its totient is φ = 15021027866880.

The previous prime is 31352133125293. The next prime is 31352133125329.

31352133125313 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 2 + 1 + 331 + 2 + 5 + 313 = 666.

31352133125313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31352133125313 - 2⁶ = 31352133125249 is a prime.

It is a super-2 number, since 2×31352133125313² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31352133125333) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73128531 + ... + 73556007.

It is an arithmetic number, because the mean of its divisors is an integer number (430161706884).

Almost surely, 2^{31352133125313} is an apocalyptic number.

31352133125313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31352133125313 is a deficient number, since it is larger than the sum of its proper divisors (30591152665983).

31352133125313 is a wasteful number, since it uses less digits than its factorization.

31352133125313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428684 (or 428674 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The spelling of 31352133125313 in words is "thirty-one trillion, three hundred fifty-two billion, one hundred thirty-three million, one hundred twenty-five thousand, three hundred thirteen".