20013131320 has 256 divisors, whose sum is σ = 56763866880. Its totient is φ = 6182092800.

The previous prime is 20013131287. The next prime is 20013131353. The reversal of 20013131320 is 2313131002.

It is an interprime number because it is at equal distance from previous prime (20013131287) and next prime (20013131353).

It is a junction number, because it is equal to n+sod(n) for n = 20013131294 and 20013131303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38412660 + ... + 38413180.

It is an arithmetic number, because the mean of its divisors is an integer number (221733855).

Almost surely, 2^20013131320 is an apocalyptic number.

20013131320 is a gapful number since it is divisible by the number (20) 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 20013131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28381933440).

20013131320 is an abundant number, since it is smaller than the sum of its proper divisors (36750735560).

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

20013131320 is a wasteful number, since it uses less digits than its factorization.

20013131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 20013131320 its reverse (2313131002), we get a palindrome (22326262322).

The spelling of 20013131320 in words is "twenty billion, thirteen million, one hundred thirty-one thousand, three hundred twenty".