113020013 has 2 divisors, whose sum is σ = 113020014. Its totient is φ = 113020012.

The previous prime is 113019997. The next prime is 113020031. The reversal of 113020013 is 310020311.

Together with next prime (113020031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64048009 + 48972004 = 8003^2 + 6998^2 .

It is a cyclic number.

It is not a de Polignac number, because 113020013 - 2⁴ = 113019997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113019976 and 113020003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113020043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56510006 + 56510007.

It is an arithmetic number, because the mean of its divisors is an integer number (56510007).

Almost surely, 2^113020013 is an apocalyptic number.

It is an amenable number.

113020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113020013 is an equidigital number, since it uses as much as digits as its factorization.

113020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 113020013 is about 10631.0871033963. The cubic root of 113020013 is about 483.4873522099.

Adding to 113020013 its reverse (310020311), we get a palindrome (423040324).

The spelling of 113020013 in words is "one hundred thirteen million, twenty thousand, thirteen".