100033313213 has 2 divisors, whose sum is σ = 100033313214. Its totient is φ = 100033313212.

The previous prime is 100033313147. The next prime is 100033313273. The reversal of 100033313213 is 312313330001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99223740004 + 809573209 = 314998^2 + 28453^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100033313213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100033313273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016656606 + 50016656607.

It is an arithmetic number, because the mean of its divisors is an integer number (50016656607).

Almost surely, 2^100033313213 is an apocalyptic number.

It is an amenable number.

100033313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033313213 is an equidigital number, since it uses as much as digits as its factorization.

100033313213 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 20.

Adding to 100033313213 its reverse (312313330001), we get a palindrome (412346643214).

The spelling of 100033313213 in words is "one hundred billion, thirty-three million, three hundred thirteen thousand, two hundred thirteen".