113001128129 has 2 divisors, whose sum is σ = 113001128130. Its totient is φ = 113001128128.

The previous prime is 113001128099. The next prime is 113001128131. The reversal of 113001128129 is 921821100311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112828810000 + 172318129 = 335900^2 + 13127^2 .

It is a cyclic number.

It is not a de Polignac number, because 113001128129 - 2²⁸ = 112732692673 is a prime.

Together with 113001128131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (113001128189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56500564064 + 56500564065.

It is an arithmetic number, because the mean of its divisors is an integer number (56500564065).

Almost surely, 2^113001128129 is an apocalyptic number.

It is an amenable number.

113001128129 is a deficient number, since it is larger than the sum of its proper divisors (1).

113001128129 is an equidigital number, since it uses as much as digits as its factorization.

113001128129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 113001128129 in words is "one hundred thirteen billion, one million, one hundred twenty-eight thousand, one hundred twenty-nine".