10031353509031 has 2 divisors, whose sum is σ = 10031353509032. Its totient is φ = 10031353509030.

The previous prime is 10031353509007. The next prime is 10031353509053. The reversal of 10031353509031 is 13090535313001.

It is a strong prime.

It is an emirp because it is prime and its reverse (13090535313001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031353509031 - 2⁵ = 10031353508999 is a prime.

It is a super-2 number, since 2×10031353509031² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031353509071) 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, 5015676754515 + 5015676754516.

It is an arithmetic number, because the mean of its divisors is an integer number (5015676754516).

Almost surely, 2^{10031353509031} is an apocalyptic number.

10031353509031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031353509031 is an equidigital number, since it uses as much as digits as its factorization.

10031353509031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18225, while the sum is 34.

The spelling of 10031353509031 in words is "ten trillion, thirty-one billion, three hundred fifty-three million, five hundred nine thousand, thirty-one".