103313020307137 has 2 divisors, whose sum is σ = 103313020307138. Its totient is φ = 103313020307136.

The previous prime is 103313020307083. The next prime is 103313020307143. The reversal of 103313020307137 is 731703020313301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84203453947536 + 19109566359601 = 9176244^2 + 4371449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103313020307137 is a prime.

It is not a weakly prime, because it can be changed into another prime (103313020317137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656510153568 + 51656510153569.

It is an arithmetic number, because the mean of its divisors is an integer number (51656510153569).

Almost surely, 2^{103313020307137} is an apocalyptic number.

It is an amenable number.

103313020307137 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313020307137 is an equidigital number, since it uses as much as digits as its factorization.

103313020307137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23814, while the sum is 34.

The spelling of 103313020307137 in words is "one hundred three trillion, three hundred thirteen billion, twenty million, three hundred seven thousand, one hundred thirty-seven".