202013131320000 has 6720 divisors, whose sum is σ = 1014148828492800. Its totient is φ = 37085921280000.

The previous prime is 202013131319981. The next prime is 202013131320017. The reversal of 202013131320000 is 23131310202.

202013131320000 is a `hidden beast` number, since 2 + 0 + 20 + 131 + 313 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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 959 ways as a sum of consecutive naturals, for example, 1453331879931 + ... + 1453331880069.

It is an arithmetic number, because the mean of its divisors is an integer number (150915004240).

Almost surely, 2^{202013131320000} is an apocalyptic number.

202013131320000 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 202013131320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507074414246400).

202013131320000 is an abundant number, since it is smaller than the sum of its proper divisors (812135697172800).

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

202013131320000 is a wasteful number, since it uses less digits than its factorization.

202013131320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 326 counting only the distinct ones).

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

Adding to 202013131320000 its reverse (23131310202), we get a palindrome (202036262630202).

The spelling of 202013131320000 in words is "two hundred two trillion, thirteen billion, one hundred thirty-one million, three hundred twenty thousand".