100313117137 has 2 divisors, whose sum is σ = 100313117138. Its totient is φ = 100313117136.

The previous prime is 100313117123. The next prime is 100313117197. The reversal of 100313117137 is 731711313001.

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., 97853849856 + 2459267281 = 312816^2 + 49591^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313117137 - 2¹⁵ = 100313084369 is a prime.

It is not a weakly prime, because it can be changed into another prime (100313117197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156558568 + 50156558569.

It is an arithmetic number, because the mean of its divisors is an integer number (50156558569).

Almost surely, 2^100313117137 is an apocalyptic number.

It is an amenable number.

100313117137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313117137 is an equidigital number, since it uses as much as digits as its factorization.

100313117137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1323, while the sum is 28.

The spelling of 100313117137 in words is "one hundred billion, three hundred thirteen million, one hundred seventeen thousand, one hundred thirty-seven".