110100102313 has 24 divisors (see below), whose sum is σ = 119246904000. Its totient is φ = 101598640416.

The previous prime is 110100102263. The next prime is 110100102367. The reversal of 110100102313 is 313201001011.

It is not a de Polignac number, because 110100102313 - 2³³ = 101510167721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100102293 and 110100102302.

It is not an unprimeable number, because it can be changed into a prime (110100102373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2638788 + ... + 2680186.

It is an arithmetic number, because the mean of its divisors is an integer number (4968621000).

Almost surely, 2^110100102313 is an apocalyptic number.

It is an amenable number.

110100102313 is a deficient number, since it is larger than the sum of its proper divisors (9146801687).

110100102313 is a wasteful number, since it uses less digits than its factorization.

110100102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41629 (or 41610 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 110100102313 its reverse (313201001011), we get a palindrome (423301103324).

The spelling of 110100102313 in words is "one hundred ten billion, one hundred million, one hundred two thousand, three hundred thirteen".