31123304100137 has 2 divisors, whose sum is σ = 31123304100138. Its totient is φ = 31123304100136.

The previous prime is 31123304100103. The next prime is 31123304100143. The reversal of 31123304100137 is 73100140332113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18588333793561 + 12534970306576 = 4311419^2 + 3540476^2 .

It is an emirp because it is prime and its reverse (73100140332113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31123304100137 - 2²⁴ = 31123287322921 is a prime.

It is not a weakly prime, because it can be changed into another prime (31123304100937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561652050068 + 15561652050069.

It is an arithmetic number, because the mean of its divisors is an integer number (15561652050069).

Almost surely, 2^{31123304100137} is an apocalyptic number.

It is an amenable number.

31123304100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123304100137 is an equidigital number, since it uses as much as digits as its factorization.

31123304100137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 31123304100137 in words is "thirty-one trillion, one hundred twenty-three billion, three hundred four million, one hundred thousand, one hundred thirty-seven".