31072432053137 has 2 divisors, whose sum is σ = 31072432053138. Its totient is φ = 31072432053136.

The previous prime is 31072432053077. The next prime is 31072432053233. The reversal of 31072432053137 is 73135023427013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25504833153361 + 5567598899776 = 5050231^2 + 2359576^2 .

It is a cyclic number.

It is not a de Polignac number, because 31072432053137 - 2¹⁸ = 31072431790993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31072432053094 and 31072432053103.

It is not a weakly prime, because it can be changed into another prime (31072432053437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15536216026568 + 15536216026569.

It is an arithmetic number, because the mean of its divisors is an integer number (15536216026569).

Almost surely, 2^{31072432053137} is an apocalyptic number.

It is an amenable number.

31072432053137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31072432053137 is an equidigital number, since it uses as much as digits as its factorization.

31072432053137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 41.

The spelling of 31072432053137 in words is "thirty-one trillion, seventy-two billion, four hundred thirty-two million, fifty-three thousand, one hundred thirty-seven".