213013332000 has 1152 divisors, whose sum is σ = 963320117760. Its totient is φ = 43396300800.

The previous prime is 213013331941. The next prime is 213013332041. The reversal of 213013332000 is 233310312.

213013332000 is a `hidden beast` number, since 2 + 130 + 1 + 333 + 200 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 81394692 + ... + 81397308.

It is an arithmetic number, because the mean of its divisors is an integer number (836215380).

Almost surely, 2^213013332000 is an apocalyptic number.

213013332000 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 213013332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481660058880).

213013332000 is an abundant number, since it is smaller than the sum of its proper divisors (750306785760).

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

213013332000 is a wasteful number, since it uses less digits than its factorization.

213013332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213013332000 its reverse (233310312), we get a palindrome (213246642312).

The spelling of 213013332000 in words is "two hundred thirteen billion, thirteen million, three hundred thirty-two thousand".