100100311023213 has 12 divisors (see below), whose sum is σ = 145644734775228. Its totient is φ = 66246434544960.

The previous prime is 100100311023197. The next prime is 100100311023227. The reversal of 100100311023213 is 312320113001001.

100100311023213 is a `hidden beast` number, since 10 + 0 + 100 + 311 + 0 + 232 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21994627364649 + 78105683658564 = 4689843^2 + 8837742^2 .

It is not a de Polignac number, because 100100311023213 - 2⁴ = 100100311023197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100311023233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40592176798 + ... + 40592179263.

It is an arithmetic number, because the mean of its divisors is an integer number (12137061231269).

Almost surely, 2^{100100311023213} is an apocalyptic number.

It is an amenable number.

100100311023213 is a deficient number, since it is larger than the sum of its proper divisors (45544423752015).

100100311023213 is a wasteful number, since it uses less digits than its factorization.

100100311023213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81184356204 (or 81184356201 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100100311023213 its reverse (312320113001001), we get a palindrome (412420424024214).

The spelling of 100100311023213 in words is "one hundred trillion, one hundred billion, three hundred eleven million, twenty-three thousand, two hundred thirteen".