10000331010113 has 2 divisors, whose sum is σ = 10000331010114. Its totient is φ = 10000331010112.

The previous prime is 10000331010101. The next prime is 10000331010149. The reversal of 10000331010113 is 31101013300001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9175525566769 + 824805443344 = 3029113^2 + 908188^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000331010113 - 2¹⁰ = 10000331009089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000331016113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000165505056 + 5000165505057.

It is an arithmetic number, because the mean of its divisors is an integer number (5000165505057).

Almost surely, 2^{10000331010113} is an apocalyptic number.

It is an amenable number.

10000331010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000331010113 is an equidigital number, since it uses as much as digits as its factorization.

10000331010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10000331010113 its reverse (31101013300001), we get a palindrome (41101344310114).

The spelling of 10000331010113 in words is "ten trillion, three hundred thirty-one million, ten thousand, one hundred thirteen".