31313013121233 has 24 divisors (see below), whose sum is σ = 45582461084160. Its totient is φ = 20713145899680.

The previous prime is 31313013121213. The next prime is 31313013121283. The reversal of 31313013121233 is 33212131031313.

31313013121233 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 301 + 3 + 121 + 233 = 666.

It is not a de Polignac number, because 31313013121233 - 2⁹ = 31313013120721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31313013121197 and 31313013121206.

It is not an unprimeable number, because it can be changed into a prime (31313013121213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20973873 + ... + 22417166.

It is an arithmetic number, because the mean of its divisors is an integer number (1899269211840).

Almost surely, 2^{31313013121233} is an apocalyptic number.

It is an amenable number.

31313013121233 is a deficient number, since it is larger than the sum of its proper divisors (14269447962927).

31313013121233 is a wasteful number, since it uses less digits than its factorization.

31313013121233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43391669 (or 43391666 counting only the distinct ones).

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

Adding to 31313013121233 its reverse (33212131031313), we get a palindrome (64525144152546).

The spelling of 31313013121233 in words is "thirty-one trillion, three hundred thirteen billion, thirteen million, one hundred twenty-one thousand, two hundred thirty-three".