13131021020120 has 512 divisors, whose sum is σ = 33614839296000. Its totient is φ = 4594838814720.

The previous prime is 13131021020093. The next prime is 13131021020123. The reversal of 13131021020120 is 2102012013131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131021020123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9508341830 + ... + 9508343210.

It is an arithmetic number, because the mean of its divisors is an integer number (65653983000).

Almost surely, 2^{13131021020120} is an apocalyptic number.

13131021020120 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 13131021020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807419648000).

13131021020120 is an abundant number, since it is smaller than the sum of its proper divisors (20483818275880).

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

13131021020120 is a wasteful number, since it uses less digits than its factorization.

13131021020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13131021020120 its reverse (2102012013131), we get a palindrome (15233033033251).

The spelling of 13131021020120 in words is "thirteen trillion, one hundred thirty-one billion, twenty-one million, twenty thousand, one hundred twenty".