13112400314310 has 512 divisors, whose sum is σ = 36005592268800. Its totient is φ = 3028880701440.

The previous prime is 13112400314303. The next prime is 13112400314341. The reversal of 13112400314310 is 1341300421131.

It is a happy number.

It is a super-2 number, since 2×13112400314310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31294511281 + ... + 31294511699.

It is an arithmetic number, because the mean of its divisors is an integer number (70323422400).

Almost surely, 2^{13112400314310} is an apocalyptic number.

13112400314310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112400314310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002796134400).

13112400314310 is an abundant number, since it is smaller than the sum of its proper divisors (22893191954490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13112400314310 is a wasteful number, since it uses less digits than its factorization.

13112400314310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876.

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

Adding to 13112400314310 its reverse (1341300421131), we get a palindrome (14453700735441).

The spelling of 13112400314310 in words is "thirteen trillion, one hundred twelve billion, four hundred million, three hundred fourteen thousand, three hundred ten".