113303121123013 has 2 divisors, whose sum is σ = 113303121123014. Its totient is φ = 113303121123012.

The previous prime is 113303121122999. The next prime is 113303121123037. The reversal of 113303121123013 is 310321121303311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58015672707204 + 55287448415809 = 7616802^2 + 7435553^2 .

It is a cyclic number.

It is not a de Polignac number, because 113303121123013 - 2²¹ = 113303119025861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113303121123713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56651560561506 + 56651560561507.

It is an arithmetic number, because the mean of its divisors is an integer number (56651560561507).

Almost surely, 2^{113303121123013} is an apocalyptic number.

It is an amenable number.

113303121123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113303121123013 is an equidigital number, since it uses as much as digits as its factorization.

113303121123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 113303121123013 its reverse (310321121303311), we get a palindrome (423624242426324).

The spelling of 113303121123013 in words is "one hundred thirteen trillion, three hundred three billion, one hundred twenty-one million, one hundred twenty-three thousand, thirteen".