113013220513 has 2 divisors, whose sum is σ = 113013220514. Its totient is φ = 113013220512.

The previous prime is 113013220501. The next prime is 113013220531. The reversal of 113013220513 is 315022310311.

Together with next prime (113013220531) 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., 65363569569 + 47649650944 = 255663^2 + 218288^2 .

It is an emirp because it is prime and its reverse (315022310311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113013220513 - 2²⁵ = 112979666081 is a prime.

It is not a weakly prime, because it can be changed into another prime (113013220913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56506610256 + 56506610257.

It is an arithmetic number, because the mean of its divisors is an integer number (56506610257).

Almost surely, 2^113013220513 is an apocalyptic number.

It is an amenable number.

113013220513 is a deficient number, since it is larger than the sum of its proper divisors (1).

113013220513 is an equidigital number, since it uses as much as digits as its factorization.

113013220513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 113013220513 its reverse (315022310311), we get a palindrome (428035530824).

The spelling of 113013220513 in words is "one hundred thirteen billion, thirteen million, two hundred twenty thousand, five hundred thirteen".