213302331000 has 384 divisors, whose sum is σ = 788486400000. Its totient is φ = 51579360000.

The previous prime is 213302330849. The next prime is 213302331001. The reversal of 213302331000 is 133203312.

213302331000 is a `hidden beast` number, since 2 + 1 + 330 + 2 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×213302331000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213302331001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42666501 + ... + 42671499.

It is an arithmetic number, because the mean of its divisors is an integer number (2053350000).

Almost surely, 2^213302331000 is an apocalyptic number.

213302331000 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 213302331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394243200000).

213302331000 is an abundant number, since it is smaller than the sum of its proper divisors (575184069000).

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

213302331000 is a wasteful number, since it uses less digits than its factorization.

213302331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5451 counting only the distinct ones).

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

Adding to 213302331000 its reverse (133203312), we get a palindrome (213435534312).

The spelling of 213302331000 in words is "two hundred thirteen billion, three hundred two million, three hundred thirty-one thousand".