3100304013137 has 2 divisors, whose sum is σ = 3100304013138. Its totient is φ = 3100304013136.

The previous prime is 3100304013109. The next prime is 3100304013161. The reversal of 3100304013137 is 7313104030013.

3100304013137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1797318290881 + 1302985722256 = 1340641^2 + 1141484^2 .

It is a cyclic number.

It is not a de Polignac number, because 3100304013137 - 2¹² = 3100304009041 is a prime.

It is a super-2 number, since 2×3100304013137² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3100304033137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1550152006568 + 1550152006569.

It is an arithmetic number, because the mean of its divisors is an integer number (1550152006569).

Almost surely, 2^{3100304013137} is an apocalyptic number.

It is an amenable number.

3100304013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3100304013137 is an equidigital number, since it uses as much as digits as its factorization.

3100304013137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 3100304013137 in words is "three trillion, one hundred billion, three hundred four million, thirteen thousand, one hundred thirty-seven".