2020131313200 has 2880 divisors, whose sum is σ = 9825854438400. Its totient is φ = 370859212800.

The previous prime is 2020131313181. The next prime is 2020131313219. The reversal of 2020131313200 is 23131310202.

2020131313200 is a `hidden beast` number, since 2 + 0 + 20 + 131 + 313 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2020131313181) and next prime (2020131313219).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14533318731 + ... + 14533318869.

Almost surely, 2^{2020131313200} is an apocalyptic number.

2020131313200 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 2020131313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912927219200).

2020131313200 is an abundant number, since it is smaller than the sum of its proper divisors (7805723125200).

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

2020131313200 is a wasteful number, since it uses less digits than its factorization.

2020131313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2020131313200 its reverse (23131310202), we get a palindrome (2043262623402).

The spelling of 2020131313200 in words is "two trillion, twenty billion, one hundred thirty-one million, three hundred thirteen thousand, two hundred".