100031321333089 has 2 divisors, whose sum is σ = 100031321333090. Its totient is φ = 100031321333088.

The previous prime is 100031321333039. The next prime is 100031321333171. The reversal of 100031321333089 is 980333123130001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98339292724689 + 1692028608400 = 9916617^2 + 1300780^2 .

It is a cyclic number.

It is not a de Polignac number, because 100031321333089 - 2⁷ = 100031321332961 is a prime.

It is not a weakly prime, because it can be changed into another prime (100031321333039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50015660666544 + 50015660666545.

It is an arithmetic number, because the mean of its divisors is an integer number (50015660666545).

Almost surely, 2^{100031321333089} is an apocalyptic number.

It is an amenable number.

100031321333089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100031321333089 is an equidigital number, since it uses as much as digits as its factorization.

100031321333089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 100031321333089 in words is "one hundred trillion, thirty-one billion, three hundred twenty-one million, three hundred thirty-three thousand, eighty-nine".