31513051313 has 2 divisors, whose sum is σ = 31513051314. Its totient is φ = 31513051312.

The previous prime is 31513051279. The next prime is 31513051321. The reversal of 31513051313 is 31315031513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19743622144 + 11769429169 = 140512^2 + 108487^2 .

It is an emirp because it is prime and its reverse (31315031513) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31513051313 is a prime.

It is not a weakly prime, because it can be changed into another prime (31513051343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15756525656 + 15756525657.

It is an arithmetic number, because the mean of its divisors is an integer number (15756525657).

Almost surely, 2^31513051313 is an apocalyptic number.

It is an amenable number.

31513051313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31513051313 is an equidigital number, since it uses as much as digits as its factorization.

31513051313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2025, while the sum is 26.

Adding to 31513051313 its reverse (31315031513), we get a palindrome (62828082826).

The spelling of 31513051313 in words is "thirty-one billion, five hundred thirteen million, fifty-one thousand, three hundred thirteen".