413013313157 has 2 divisors, whose sum is σ = 413013313158. Its totient is φ = 413013313156.

The previous prime is 413013313109. The next prime is 413013313159. The reversal of 413013313157 is 751313310314.

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., 391213971841 + 21799341316 = 625471^2 + 147646^2 .

It is a cyclic number.

It is not a de Polignac number, because 413013313157 - 2⁶ = 413013313093 is a prime.

Together with 413013313159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413013313159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206506656578 + 206506656579.

It is an arithmetic number, because the mean of its divisors is an integer number (206506656579).

Almost surely, 2^413013313157 is an apocalyptic number.

It is an amenable number.

413013313157 is a deficient number, since it is larger than the sum of its proper divisors (1).

413013313157 is an equidigital number, since it uses as much as digits as its factorization.

413013313157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 413013313157 in words is "four hundred thirteen billion, thirteen million, three hundred thirteen thousand, one hundred fifty-seven".