100031390523313 has 2 divisors, whose sum is σ = 100031390523314. Its totient is φ = 100031390523312.

The previous prime is 100031390523157. The next prime is 100031390523329. The reversal of 100031390523313 is 313325093130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76469026047649 + 23562364475664 = 8744657^2 + 4854108^2 .

It is a cyclic number.

It is not a de Polignac number, because 100031390523313 - 2³³ = 100022800588721 is a prime.

It is not a weakly prime, because it can be changed into another prime (100031390523913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50015695261656 + 50015695261657.

It is an arithmetic number, because the mean of its divisors is an integer number (50015695261657).

Almost surely, 2^{100031390523313} is an apocalyptic number.

It is an amenable number.

100031390523313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100031390523313 is an equidigital number, since it uses as much as digits as its factorization.

100031390523313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21870, while the sum is 34.

The spelling of 100031390523313 in words is "one hundred trillion, thirty-one billion, three hundred ninety million, five hundred twenty-three thousand, three hundred thirteen".