40131314327513 has 2 divisors, whose sum is σ = 40131314327514. Its totient is φ = 40131314327512.

The previous prime is 40131314327473. The next prime is 40131314327521. The reversal of 40131314327513 is 31572341313104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25718418396889 + 14412895930624 = 5071333^2 + 3796432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40131314327513 is a prime.

It is a super-2 number, since 2×40131314327513² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40131314327413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20065657163756 + 20065657163757.

It is an arithmetic number, because the mean of its divisors is an integer number (20065657163757).

Almost surely, 2^{40131314327513} is an apocalyptic number.

It is an amenable number.

40131314327513 is a deficient number, since it is larger than the sum of its proper divisors (1).

40131314327513 is an equidigital number, since it uses as much as digits as its factorization.

40131314327513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 40131314327513 in words is "forty trillion, one hundred thirty-one billion, three hundred fourteen million, three hundred twenty-seven thousand, five hundred thirteen".