1000112313313 has 16 divisors (see below), whose sum is σ = 1026092003200. Its totient is φ = 974258046720.

The previous prime is 1000112313293. The next prime is 1000112313323. The reversal of 1000112313313 is 3133132110001.

It is a cyclic number.

It is not a de Polignac number, because 1000112313313 - 2²⁵ = 1000078758881 is a prime.

It is a super-3 number, since 3×1000112313313³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000112313323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58680073 + ... + 58697113.

It is an arithmetic number, because the mean of its divisors is an integer number (64130750200).

Almost surely, 2^{1000112313313} is an apocalyptic number.

It is an amenable number.

1000112313313 is a deficient number, since it is larger than the sum of its proper divisors (25979689887).

1000112313313 is a wasteful number, since it uses less digits than its factorization.

1000112313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20632.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1000112313313 its reverse (3133132110001), we get a palindrome (4133244423314).

The spelling of 1000112313313 in words is "one trillion, one hundred twelve million, three hundred thirteen thousand, three hundred thirteen".