13110112121310 has 144 divisors (see below), whose sum is σ = 35379330753312. Its totient is φ = 3367860768000.

The previous prime is 13110112121213. The next prime is 13110112121317. The reversal of 13110112121310 is 1312121101131.

13110112121310 is a `hidden beast` number, since 1 + 311 + 0 + 1 + 1 + 21 + 21 + 310 = 666.

It is a super-2 number, since 2×13110112121310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110112121317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11917455 + ... + 12970965.

It is an arithmetic number, because the mean of its divisors is an integer number (245689796898).

Almost surely, 2^{13110112121310} is an apocalyptic number.

13110112121310 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 13110112121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689665376656).

13110112121310 is an abundant number, since it is smaller than the sum of its proper divisors (22269218632002).

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

13110112121310 is a wasteful number, since it uses less digits than its factorization.

13110112121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053699 (or 1053659 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13110112121310 its reverse (1312121101131), we get a palindrome (14422233222441).

The spelling of 13110112121310 in words is "thirteen trillion, one hundred ten billion, one hundred twelve million, one hundred twenty-one thousand, three hundred ten".