100333031202013 has 2 divisors, whose sum is σ = 100333031202014. Its totient is φ = 100333031202012.

The previous prime is 100333031201999. The next prime is 100333031202023. The reversal of 100333031202013 is 310202130333001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97053589090084 + 3279442111929 = 9851578^2 + 1810923^2 .

It is a cyclic number.

It is not a de Polignac number, because 100333031202013 - 2²⁹ = 100332494331101 is a prime.

It is a super-2 number, since 2×100333031202013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100333031202023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166515601006 + 50166515601007.

It is an arithmetic number, because the mean of its divisors is an integer number (50166515601007).

Almost surely, 2^{100333031202013} is an apocalyptic number.

It is an amenable number.

100333031202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333031202013 is an equidigital number, since it uses as much as digits as its factorization.

100333031202013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 100333031202013 its reverse (310202130333001), we get a palindrome (410535161535014).

The spelling of 100333031202013 in words is "one hundred trillion, three hundred thirty-three billion, thirty-one million, two hundred two thousand, thirteen".