213001020020000 has 240 divisors, whose sum is σ = 533177453350080. Its totient is φ = 83712107136000.

The previous prime is 213001020019927. The next prime is 213001020020021. The reversal of 213001020020000 is 20020100312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280893309 + ... + 2280986691.

It is an arithmetic number, because the mean of its divisors is an integer number (2221572722292).

Almost surely, 2^{213001020020000} is an apocalyptic number.

213001020020000 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 213001020020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266588726675040).

213001020020000 is an abundant number, since it is smaller than the sum of its proper divisors (320176433330080).

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

213001020020000 is an equidigital number, since it uses as much as digits as its factorization.

213001020020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95405 (or 95382 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 213001020020000 its reverse (20020100312), we get a palindrome (213021040120312).

The spelling of 213001020020000 in words is "two hundred thirteen trillion, one billion, twenty million, twenty thousand".