113021032013 has 2 divisors, whose sum is σ = 113021032014. Its totient is φ = 113021032012.

The previous prime is 113021031947. The next prime is 113021032037. The reversal of 113021032013 is 310230120311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98431532644 + 14589499369 = 313738^2 + 120787^2 .

It is a cyclic number.

It is not a de Polignac number, because 113021032013 - 2²⁶ = 112953923149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113021031982 and 113021032000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113021032073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56510516006 + 56510516007.

It is an arithmetic number, because the mean of its divisors is an integer number (56510516007).

Almost surely, 2^113021032013 is an apocalyptic number.

It is an amenable number.

113021032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113021032013 is an equidigital number, since it uses as much as digits as its factorization.

113021032013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 113021032013 its reverse (310230120311), we get a palindrome (423251152324).

The spelling of 113021032013 in words is "one hundred thirteen billion, twenty-one million, thirty-two thousand, thirteen".