101313203137 has 2 divisors, whose sum is σ = 101313203138. Its totient is φ = 101313203136.

The previous prime is 101313203113. The next prime is 101313203177. The reversal of 101313203137 is 731302313101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55544591041 + 45768612096 = 235679^2 + 213936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101313203137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101313203107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656601568 + 50656601569.

It is an arithmetic number, because the mean of its divisors is an integer number (50656601569).

Almost surely, 2^101313203137 is an apocalyptic number.

It is an amenable number.

101313203137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313203137 is an equidigital number, since it uses as much as digits as its factorization.

101313203137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 101313203137 its reverse (731302313101), we get a palindrome (832615516238).

The spelling of 101313203137 in words is "one hundred one billion, three hundred thirteen million, two hundred three thousand, one hundred thirty-seven".