100331311231013 has 2 divisors, whose sum is σ = 100331311231014. Its totient is φ = 100331311231012.

The previous prime is 100331311230919. The next prime is 100331311231079. The reversal of 100331311231013 is 310132113133001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64698744863809 + 35632566367204 = 8043553^2 + 5969302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100331311231013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100331311231013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100331311231513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165655615506 + 50165655615507.

It is an arithmetic number, because the mean of its divisors is an integer number (50165655615507).

Almost surely, 2^{100331311231013} is an apocalyptic number.

It is an amenable number.

100331311231013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100331311231013 is an equidigital number, since it uses as much as digits as its factorization.

100331311231013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 100331311231013 its reverse (310132113133001), we get a palindrome (410463424364014).

The spelling of 100331311231013 in words is "one hundred trillion, three hundred thirty-one billion, three hundred eleven million, two hundred thirty-one thousand, thirteen".