100100202311313 has 16 divisors (see below), whose sum is σ = 148297059019840. Its totient is φ = 66733259856192.

The previous prime is 100100202311299. The next prime is 100100202311321. The reversal of 100100202311313 is 313113202001001.

100100202311313 is a `hidden beast` number, since 1 + 0 + 0 + 100 + 20 + 231 + 1 + 313 = 666.

It is not a de Polignac number, because 100100202311313 - 2¹⁶ = 100100202245777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100100202311353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3278745 + ... + 14524137.

It is an arithmetic number, because the mean of its divisors is an integer number (9268566188740).

Almost surely, 2^{100100202311313} is an apocalyptic number.

It is an amenable number.

100100202311313 is a deficient number, since it is larger than the sum of its proper divisors (48196856708527).

100100202311313 is a wasteful number, since it uses less digits than its factorization.

100100202311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575085 (or 11575079 counting only the distinct ones).

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

Adding to 100100202311313 its reverse (313113202001001), we get a palindrome (413213404312314).

The spelling of 100100202311313 in words is "one hundred trillion, one hundred billion, two hundred two million, three hundred eleven thousand, three hundred thirteen".