113314013 has 2 divisors, whose sum is σ = 113314014. Its totient is φ = 113314012.

The previous prime is 113313973. The next prime is 113314063. The reversal of 113314013 is 310413311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99460729 + 13853284 = 9973^2 + 3722^2 .

It is a cyclic number.

It is not a de Polignac number, because 113314013 - 2¹⁰ = 113312989 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 113313982 and 113314000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113314063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56657006 + 56657007.

It is an arithmetic number, because the mean of its divisors is an integer number (56657007).

Almost surely, 2^113314013 is an apocalyptic number.

It is an amenable number.

113314013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113314013 is an equidigital number, since it uses as much as digits as its factorization.

113314013 is an evil number, because the sum of its binary digits is even.

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

The square root of 113314013 is about 10644.9054951183. The cubic root of 113314013 is about 483.9062225822.

Adding to 113314013 its reverse (310413311), we get a palindrome (423727324).

The spelling of 113314013 in words is "one hundred thirteen million, three hundred fourteen thousand, thirteen".