100113012313 has 2 divisors, whose sum is σ = 100113012314. Its totient is φ = 100113012312.

The previous prime is 100113012211. The next prime is 100113012353. The reversal of 100113012313 is 313210311001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55713465369 + 44399546944 = 236037^2 + 210712^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113012313 - 2²¹ = 100110915161 is a prime.

It is not a weakly prime, because it can be changed into another prime (100113012353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056506156 + 50056506157.

It is an arithmetic number, because the mean of its divisors is an integer number (50056506157).

Almost surely, 2^100113012313 is an apocalyptic number.

It is an amenable number.

100113012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113012313 is an equidigital number, since it uses as much as digits as its factorization.

100113012313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100113012313 its reverse (313210311001), we get a palindrome (413323323314).

The spelling of 100113012313 in words is "one hundred billion, one hundred thirteen million, twelve thousand, three hundred thirteen".