213331001000 has 64 divisors (see below), whose sum is σ = 537594155280. Its totient is φ = 78768364800.

The previous prime is 213331000991. The next prime is 213331001063. The reversal of 213331001000 is 100133312.

213331001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21883684 + 213309117316 = 4678^2 + 461854^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8192039 + ... + 8218038.

Almost surely, 2^213331001000 is an apocalyptic number.

213331001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213331001000 is an abundant number, since it is smaller than the sum of its proper divisors (324263154280).

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

213331001000 is a wasteful number, since it uses less digits than its factorization.

213331001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16410111 (or 16410097 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 213331001000 its reverse (100133312), we get a palindrome (213431134312).

The spelling of 213331001000 in words is "two hundred thirteen billion, three hundred thirty-one million, one thousand".