23133032013 has 128 divisors (see below), whose sum is σ = 41871320064. Its totient is φ = 11014963200.

The previous prime is 23133031969. The next prime is 23133032017. The reversal of 23133032013 is 31023033132.

It is not a de Polignac number, because 23133032013 - 2²⁰ = 23131983437 is a prime.

It is a super-2 number, since 2×23133032013² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133032017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11606145 + ... + 11608137.

It is an arithmetic number, because the mean of its divisors is an integer number (327119688).

Almost surely, 2^23133032013 is an apocalyptic number.

It is an amenable number.

23133032013 is a deficient number, since it is larger than the sum of its proper divisors (18738288051).

23133032013 is a wasteful number, since it uses less digits than its factorization.

23133032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23133032013 its reverse (31023033132), we get a palindrome (54156065145).

The spelling of 23133032013 in words is "twenty-three billion, one hundred thirty-three million, thirty-two thousand, thirteen".