23132013 has 16 divisors (see below), whose sum is σ = 31481856. Its totient is φ = 15104880.

The previous prime is 23131973. The next prime is 23132023. The reversal of 23132013 is 31023132.

It is not a de Polignac number, because 23132013 - 2¹⁴ = 23115629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23131983 and 23132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47256 + ... + 47742.

It is an arithmetic number, because the mean of its divisors is an integer number (1967616).

Almost surely, 2^23132013 is an apocalyptic number.

It is an amenable number.

23132013 is a deficient number, since it is larger than the sum of its proper divisors (8349843).

23132013 is a wasteful number, since it uses less digits than its factorization.

23132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 23132013 is about 4809.5751371613. The cubic root of 23132013 is about 284.9297580048.

Adding to 23132013 its reverse (31023132), we get a palindrome (54155145).

The spelling of 23132013 in words is "twenty-three million, one hundred thirty-two thousand, thirteen".