213201211113000 has 1536 divisors, whose sum is σ = 821367053844480. Its totient is φ = 49411607040000.

The previous prime is 213201211112999. The next prime is 213201211113067. The reversal of 213201211113000 is 311112102312.

213201211113000 is a `hidden beast` number, since 2 + 1 + 320 + 1 + 211 + 1 + 130 + 0 + 0 = 666.

213201211113000 is digitally balanced in base 2, 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 248776208572 + ... + 248776209428.

It is an arithmetic number, because the mean of its divisors is an integer number (534744175680).

Almost surely, 2^{213201211113000} is an apocalyptic number.

213201211113000 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 213201211113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410683526922240).

213201211113000 is an abundant number, since it is smaller than the sum of its proper divisors (608165842731480).

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

213201211113000 is a wasteful number, since it uses less digits than its factorization.

213201211113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213201211113000 its reverse (311112102312), we get a palindrome (213512323215312).

The spelling of 213201211113000 in words is "two hundred thirteen trillion, two hundred one billion, two hundred eleven million, one hundred thirteen thousand".