101311313137 has 2 divisors, whose sum is σ = 101311313138. Its totient is φ = 101311313136.

The previous prime is 101311313099. The next prime is 101311313177. The reversal of 101311313137 is 731313113101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83269182096 + 18042131041 = 288564^2 + 134321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101311313137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101311313177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655656568 + 50655656569.

It is an arithmetic number, because the mean of its divisors is an integer number (50655656569).

Almost surely, 2^101311313137 is an apocalyptic number.

It is an amenable number.

101311313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311313137 is an equidigital number, since it uses as much as digits as its factorization.

101311313137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 25.

Adding to 101311313137 its reverse (731313113101), we get a palindrome (832624426238).

The spelling of 101311313137 in words is "one hundred one billion, three hundred eleven million, three hundred thirteen thousand, one hundred thirty-seven".