112314041300013 has 96 divisors (see below), whose sum is σ = 180807537917952. Its totient is φ = 61768486483200.

The previous prime is 112314041300003. The next prime is 112314041300023. The reversal of 112314041300013 is 310003140413211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112314041300003) and next prime (112314041300023).

It is not a de Polignac number, because 112314041300013 - 2⁶ = 112314041299949 is a prime.

It is a super-2 number, since 2×112314041300013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112314041300003) 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, 4058600745 + ... + 4058628417.

It is an arithmetic number, because the mean of its divisors is an integer number (1883411853312).

Almost surely, 2^{112314041300013} is an apocalyptic number.

It is an amenable number.

112314041300013 is a deficient number, since it is larger than the sum of its proper divisors (68493496617939).

112314041300013 is a wasteful number, since it uses less digits than its factorization.

112314041300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32575 (or 32568 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 112314041300013 its reverse (310003140413211), we get a palindrome (422317181713224).

The spelling of 112314041300013 in words is "one hundred twelve trillion, three hundred fourteen billion, forty-one million, three hundred thousand, thirteen".