2313131329 has 2 divisors, whose sum is σ = 2313131330. Its totient is φ = 2313131328.

The previous prime is 2313131287. The next prime is 2313131339. The reversal of 2313131329 is 9231313132.

2313131329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2313129025 + 2304 = 48095^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313131329 - 2⁷ = 2313131201 is a prime.

It is a super-3 number, since 3×2313131329³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2313131297 and 2313131306.

It is not a weakly prime, because it can be changed into another prime (2313131339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156565664 + 1156565665.

It is an arithmetic number, because the mean of its divisors is an integer number (1156565665).

Almost surely, 2^2313131329 is an apocalyptic number.

It is an amenable number.

2313131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313131329 is an equidigital number, since it uses as much as digits as its factorization.

2313131329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 28.

The square root of 2313131329 is about 48095.0239525879. The cubic root of 2313131329 is about 1322.5134481428.

The spelling of 2313131329 in words is "two billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred twenty-nine".