13131020032120 has 128 divisors (see below), whose sum is σ = 32578232140800. Its totient is φ = 4741097619456.

The previous prime is 13131020032079. The next prime is 13131020032121. The reversal of 13131020032120 is 2123002013131.

It is a super-3 number, since 3×13131020032120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131020032121) 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 31 ways as a sum of consecutive naturals, for example, 3030877 + ... + 5953843.

It is an arithmetic number, because the mean of its divisors is an integer number (254517438600).

Almost surely, 2^{13131020032120} is an apocalyptic number.

13131020032120 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 13131020032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289116070400).

13131020032120 is an abundant number, since it is smaller than the sum of its proper divisors (19447212108680).

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

13131020032120 is a wasteful number, since it uses less digits than its factorization.

13131020032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923277 (or 2923273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13131020032120 its reverse (2123002013131), we get a palindrome (15254022045251).

The spelling of 13131020032120 in words is "thirteen trillion, one hundred thirty-one billion, twenty million, thirty-two thousand, one hundred twenty".