31313022132123 has 64 divisors (see below), whose sum is σ = 48327527116800. Its totient is φ = 20016539389440.

The previous prime is 31313022132109. The next prime is 31313022132157. The reversal of 31313022132123 is 32123122031313.

31313022132123 is a `hidden beast` number, since 3 + 1 + 31 + 302 + 2 + 1 + 321 + 2 + 3 = 666.

It is not a de Polignac number, because 31313022132123 - 2⁶ = 31313022132059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31313022132163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41123715 + ... + 41878227.

It is an arithmetic number, because the mean of its divisors is an integer number (755117611200).

Almost surely, 2^{31313022132123} is an apocalyptic number.

31313022132123 is a deficient number, since it is larger than the sum of its proper divisors (17014504984677).

31313022132123 is a wasteful number, since it uses less digits than its factorization.

31313022132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755009 (or 755003 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31313022132123 its reverse (32123122031313), we get a palindrome (63436144163436).

The spelling of 31313022132123 in words is "thirty-one trillion, three hundred thirteen billion, twenty-two million, one hundred thirty-two thousand, one hundred twenty-three".