113121112431329 has 2 divisors, whose sum is σ = 113121112431330. Its totient is φ = 113121112431328.

The previous prime is 113121112431263. The next prime is 113121112431331. The reversal of 113121112431329 is 923134211121311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90951469775104 + 22169642656225 = 9536848^2 + 4708465^2 .

It is a cyclic number.

It is not a de Polignac number, because 113121112431329 - 2⁴⁴ = 95528926386913 is a prime.

It is a Sophie Germain prime.

Together with 113121112431331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (113121112431529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56560556215664 + 56560556215665.

It is an arithmetic number, because the mean of its divisors is an integer number (56560556215665).

Almost surely, 2^{113121112431329} is an apocalyptic number.

It is an amenable number.

113121112431329 is a deficient number, since it is larger than the sum of its proper divisors (1).

113121112431329 is an equidigital number, since it uses as much as digits as its factorization.

113121112431329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 35.

The spelling of 113121112431329 in words is "one hundred thirteen trillion, one hundred twenty-one billion, one hundred twelve million, four hundred thirty-one thousand, three hundred twenty-nine".