10211313137 has 2 divisors, whose sum is σ = 10211313138. Its totient is φ = 10211313136.

The previous prime is 10211313067. The next prime is 10211313149. The reversal of 10211313137 is 73131311201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9740900416 + 470412721 = 98696^2 + 21689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211313137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211313737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105656568 + 5105656569.

It is an arithmetic number, because the mean of its divisors is an integer number (5105656569).

Almost surely, 2^10211313137 is an apocalyptic number.

It is an amenable number.

10211313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211313137 is an equidigital number, since it uses as much as digits as its factorization.

10211313137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 10211313137 its reverse (73131311201), we get a palindrome (83342624338).

The spelling of 10211313137 in words is "ten billion, two hundred eleven million, three hundred thirteen thousand, one hundred thirty-seven".