10031233131319 has 2 divisors, whose sum is σ = 10031233131320. Its totient is φ = 10031233131318.

The previous prime is 10031233131317. The next prime is 10031233131401. The reversal of 10031233131319 is 91313133213001.

10031233131319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10031233131319 - 2¹ = 10031233131317 is a prime.

It is a super-2 number, since 2×10031233131319² (a number of 27 digits) contains 22 as substring.

Together with 10031233131317, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031233131317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015616565659 + 5015616565660.

It is an arithmetic number, because the mean of its divisors is an integer number (5015616565660).

Almost surely, 2^{10031233131319} is an apocalyptic number.

10031233131319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031233131319 is an equidigital number, since it uses as much as digits as its factorization.

10031233131319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 31.

The spelling of 10031233131319 in words is "ten trillion, thirty-one billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred nineteen".