213311001120 has 192 divisors, whose sum is σ = 771820068096. Its totient is φ = 48509153280.

The previous prime is 213311001109. The next prime is 213311001149. The reversal of 213311001120 is 21100113312.

It is a happy number.

213311001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213311001120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500790 + ... + 823050.

It is an arithmetic number, because the mean of its divisors is an integer number (4019896188).

Almost surely, 2^213311001120 is an apocalyptic number.

213311001120 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 213311001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385910034048).

213311001120 is an abundant number, since it is smaller than the sum of its proper divisors (558509066976).

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

213311001120 is a wasteful number, since it uses less digits than its factorization.

213311001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322483 (or 322475 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 213311001120 its reverse (21100113312), we get a palindrome (234411114432).

The spelling of 213311001120 in words is "two hundred thirteen billion, three hundred eleven million, one thousand, one hundred twenty".