23213023232013 has 6 divisors (see below), whose sum is σ = 33529922446254. Its totient is φ = 15475348821336.

The previous prime is 23213023231949. The next prime is 23213023232039. The reversal of 23213023232013 is 31023232031232.

23213023232013 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 302 + 32 + 320 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20096096539689 + 3116926692324 = 4482867^2 + 1765482^2 .

It is not a de Polignac number, because 23213023232013 - 2⁶ = 23213023231949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213023234013) 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, 1289612401770 + ... + 1289612401787.

It is an arithmetic number, because the mean of its divisors is an integer number (5588320407709).

Almost surely, 2^{23213023232013} is an apocalyptic number.

It is an amenable number.

23213023232013 is a deficient number, since it is larger than the sum of its proper divisors (10316899214241).

23213023232013 is a wasteful number, since it uses less digits than its factorization.

23213023232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579224803563 (or 2579224803560 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23213023232013 its reverse (31023232031232), we get a palindrome (54236255263245).

The spelling of 23213023232013 in words is "twenty-three trillion, two hundred thirteen billion, twenty-three million, two hundred thirty-two thousand, thirteen".