13114122130120 has 128 divisors (see below), whose sum is σ = 33226029809280. Its totient is φ = 4616944384000.

The previous prime is 13114122130061. The next prime is 13114122130121. The reversal of 13114122130120 is 2103122141131.

It is a super-2 number, since 2×13114122130120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13114122130091 and 13114122130100.

It is not an unprimeable number, because it can be changed into a prime (13114122130121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411367 + ... + 5137846.

It is an arithmetic number, because the mean of its divisors is an integer number (259578357885).

Almost surely, 2^{13114122130120} is an apocalyptic number.

13114122130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114122130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16613014904640).

13114122130120 is an abundant number, since it is smaller than the sum of its proper divisors (20111907679160).

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

13114122130120 is a wasteful number, since it uses less digits than its factorization.

13114122130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549407 (or 5549403 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 13114122130120 its reverse (2103122141131), we get a palindrome (15217244271251).

The spelling of 13114122130120 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-two million, one hundred thirty thousand, one hundred twenty".