100331311110013 has 2 divisors, whose sum is σ = 100331311110014. Its totient is φ = 100331311110012.

The previous prime is 100331311109989. The next prime is 100331311110029. The reversal of 100331311110013 is 310011113133001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98654695305049 + 1676615804964 = 9932507^2 + 1294842^2 .

It is a cyclic number.

It is not a de Polignac number, because 100331311110013 - 2⁹ = 100331311109501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100331311110053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165655555006 + 50165655555007.

It is an arithmetic number, because the mean of its divisors is an integer number (50165655555007).

Almost surely, 2^{100331311110013} is an apocalyptic number.

It is an amenable number.

100331311110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100331311110013 is an equidigital number, since it uses as much as digits as its factorization.

100331311110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 100331311110013 its reverse (310011113133001), we get a palindrome (410342424243014).

The spelling of 100331311110013 in words is "one hundred trillion, three hundred thirty-one billion, three hundred eleven million, one hundred ten thousand, thirteen".