2131200413020 has 288 divisors, whose sum is σ = 5428347273216. Its totient is φ = 700031808000.

The previous prime is 2131200413011. The next prime is 2131200413059. The reversal of 2131200413020 is 203140021312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756965934 + ... + 1756967146.

It is an arithmetic number, because the mean of its divisors is an integer number (18848428032).

Almost surely, 2^{2131200413020} is an apocalyptic number.

2131200413020 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 2131200413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714173636608).

2131200413020 is an abundant number, since it is smaller than the sum of its proper divisors (3297146860196).

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

2131200413020 is a wasteful number, since it uses less digits than its factorization.

2131200413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2131200413020 its reverse (203140021312), we get a palindrome (2334340434332).

The spelling of 2131200413020 in words is "two trillion, one hundred thirty-one billion, two hundred million, four hundred thirteen thousand, twenty".