13131131020 has 96 divisors (see below), whose sum is σ = 33650039808. Its totient is φ = 4206166272.

The previous prime is 13131130981. The next prime is 13131131033. The reversal of 13131131020 is 2013113131.

It is a junction number, because it is equal to n+sod(n) for n = 13131130985 and 13131131003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91042 + ... + 185878.

It is an arithmetic number, because the mean of its divisors is an integer number (350521248).

Almost surely, 2^13131131020 is an apocalyptic number.

13131131020 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 13131131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825019904).

13131131020 is an abundant number, since it is smaller than the sum of its proper divisors (20518908788).

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

13131131020 is a wasteful number, since it uses less digits than its factorization.

13131131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94919 (or 94917 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13131131020 its reverse (2013113131), we get a palindrome (15144244151).

The spelling of 13131131020 in words is "thirteen billion, one hundred thirty-one million, one hundred thirty-one thousand, twenty".