213111220020000 has 480 divisors, whose sum is σ = 709053175353600. Its totient is φ = 56018586624000.

The previous prime is 213111220019989. The next prime is 213111220020031. The reversal of 213111220020000 is 20022111312.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2924543566 + ... + 2924616434.

It is an arithmetic number, because the mean of its divisors is an integer number (1477194115320).

Almost surely, 2^{213111220020000} is an apocalyptic number.

213111220020000 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 213111220020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354526587676800).

213111220020000 is an abundant number, since it is smaller than the sum of its proper divisors (495941955333600).

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

213111220020000 is an equidigital number, since it uses as much as digits as its factorization.

213111220020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73598 (or 73575 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213111220020000 its reverse (20022111312), we get a palindrome (213131242131312).

The spelling of 213111220020000 in words is "two hundred thirteen trillion, one hundred eleven billion, two hundred twenty million, twenty thousand".