213403332000 has 192 divisors, whose sum is σ = 707961945600. Its totient is φ = 56186956800.

The previous prime is 213403331987. The next prime is 213403332013. The reversal of 213403332000 is 233304312.

It is an interprime number because it is at equal distance from previous prime (213403331987) and next prime (213403332013).

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, 835446 + ... + 1060554.

It is an arithmetic number, because the mean of its divisors is an integer number (3687301800).

Almost surely, 2^213403332000 is an apocalyptic number.

213403332000 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 213403332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353980972800).

213403332000 is an abundant number, since it is smaller than the sum of its proper divisors (494558613600).

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

213403332000 is a wasteful number, since it uses less digits than its factorization.

213403332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225216 (or 225198 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 213403332000 its reverse (233304312), we get a palindrome (213636636312).

The spelling of 213403332000 in words is "two hundred thirteen billion, four hundred three million, three hundred thirty-two thousand".