100113712393 has 2 divisors, whose sum is σ = 100113712394. Its totient is φ = 100113712392.

The previous prime is 100113712327. The next prime is 100113712423. The reversal of 100113712393 is 393217311001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99626715769 + 486996624 = 315637^2 + 22068^2 .

It is an emirp because it is prime and its reverse (393217311001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100113712393 - 2⁹ = 100113711881 is a prime.

It is not a weakly prime, because it can be changed into another prime (100113752393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056856196 + 50056856197.

It is an arithmetic number, because the mean of its divisors is an integer number (50056856197).

Almost surely, 2^100113712393 is an apocalyptic number.

It is an amenable number.

100113712393 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113712393 is an equidigital number, since it uses as much as digits as its factorization.

100113712393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 31.

The spelling of 100113712393 in words is "one hundred billion, one hundred thirteen million, seven hundred twelve thousand, three hundred ninety-three".