110100111032313 has 96 divisors (see below), whose sum is σ = 174295264665600. Its totient is φ = 66767169794688.

The previous prime is 110100111032297. The next prime is 110100111032339. The reversal of 110100111032313 is 313230111001011.

110100111032313 is a `hidden beast` number, since 110 + 100 + 1 + 110 + 32 + 313 = 666.

It is not a de Polignac number, because 110100111032313 - 2⁴ = 110100111032297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110100111032113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265813108 + ... + 266226986.

It is an arithmetic number, because the mean of its divisors is an integer number (1815575673600).

Almost surely, 2^{110100111032313} is an apocalyptic number.

It is an amenable number.

110100111032313 is a deficient number, since it is larger than the sum of its proper divisors (64195153633287).

110100111032313 is a wasteful number, since it uses less digits than its factorization.

110100111032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414731 (or 414728 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 110100111032313 its reverse (313230111001011), we get a palindrome (423330222033324).

The spelling of 110100111032313 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, thirty-two thousand, three hundred thirteen".