31001213313 has 24 divisors (see below), whose sum is σ = 51201321600. Its totient is φ = 17706423744.

The previous prime is 31001213279. The next prime is 31001213317. The reversal of 31001213313 is 31331210013.

It is a happy number.

31001213313 is a `hidden beast` number, since 310 + 0 + 1 + 21 + 331 + 3 = 666.

It is not a de Polignac number, because 31001213313 - 2⁸ = 31001213057 is a prime.

It is a super-2 number, since 2×31001213313² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31001213317) 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 23 ways as a sum of consecutive naturals, for example, 13828 + ... + 249386.

It is an arithmetic number, because the mean of its divisors is an integer number (2133388400).

Almost surely, 2^31001213313 is an apocalyptic number.

It is an amenable number.

31001213313 is a deficient number, since it is larger than the sum of its proper divisors (20200108287).

31001213313 is a wasteful number, since it uses less digits than its factorization.

31001213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237661 (or 237658 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31001213313 its reverse (31331210013), we get a palindrome (62332423326).

The spelling of 31001213313 in words is "thirty-one billion, one million, two hundred thirteen thousand, three hundred thirteen".