23131221332013 has 6 divisors (see below), whose sum is σ = 33411764146254. Its totient is φ = 15420814221336.

The previous prime is 23131221331991. The next prime is 23131221332017. The reversal of 23131221332013 is 31023312213132.

23131221332013 is a `hidden beast` number, since 2 + 3 + 1 + 312 + 2 + 1 + 332 + 0 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20489627743209 + 2641593588804 = 4526547^2 + 1625298^2 .

It is not a de Polignac number, because 23131221332013 - 2⁶ = 23131221331949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131221332017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1285067851770 + ... + 1285067851787.

It is an arithmetic number, because the mean of its divisors is an integer number (5568627357709).

Almost surely, 2^{23131221332013} is an apocalyptic number.

It is an amenable number.

23131221332013 is a deficient number, since it is larger than the sum of its proper divisors (10280542814241).

23131221332013 is a wasteful number, since it uses less digits than its factorization.

23131221332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570135703563 (or 2570135703560 counting only the distinct ones).

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

Adding to 23131221332013 its reverse (31023312213132), we get a palindrome (54154533545145).

The spelling of 23131221332013 in words is "twenty-three trillion, one hundred thirty-one billion, two hundred twenty-one million, three hundred thirty-two thousand, thirteen".