113321013121 has 2 divisors, whose sum is σ = 113321013122. Its totient is φ = 113321013120.

The previous prime is 113321013107. The next prime is 113321013137. The reversal of 113321013121 is 121310123311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93626820225 + 19694192896 = 305985^2 + 140336^2 .

It is a cyclic number.

It is not a de Polignac number, because 113321013121 - 2¹⁷ = 113320882049 is a prime.

It is not a weakly prime, because it can be changed into another prime (113321013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56660506560 + 56660506561.

It is an arithmetic number, because the mean of its divisors is an integer number (56660506561).

Almost surely, 2^113321013121 is an apocalyptic number.

It is an amenable number.

113321013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

113321013121 is an equidigital number, since it uses as much as digits as its factorization.

113321013121 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 19.

Adding to 113321013121 its reverse (121310123311), we get a palindrome (234631136432).

The spelling of 113321013121 in words is "one hundred thirteen billion, three hundred twenty-one million, thirteen thousand, one hundred twenty-one".