113002111313 has 24 divisors (see below), whose sum is σ = 141724110528. Its totient is φ = 89306564256.

The previous prime is 113002111309. The next prime is 113002111319. The reversal of 113002111313 is 313111200311.

It is not a de Polignac number, because 113002111313 - 2² = 113002111309 is a prime.

It is a super-2 number, since 2×113002111313² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113002111291 and 113002111300.

It is not an unprimeable number, because it can be changed into a prime (113002111319) 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, 462020 + ... + 662922.

It is an arithmetic number, because the mean of its divisors is an integer number (5905171272).

Almost surely, 2^113002111313 is an apocalyptic number.

113002111313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113002111313 is a deficient number, since it is larger than the sum of its proper divisors (28721999215).

113002111313 is a wasteful number, since it uses less digits than its factorization.

113002111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201813 (or 201806 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 113002111313 its reverse (313111200311), we get a palindrome (426113311624).

The spelling of 113002111313 in words is "one hundred thirteen billion, two million, one hundred eleven thousand, three hundred thirteen".