213323251152000 has 512 divisors, whose sum is σ = 771535230935040. Its totient is φ = 51709312512000.

The previous prime is 213323251151987. The next prime is 213323251152007. The reversal of 213323251152000 is 251152323312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (213323251152007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7689250129 + ... + 7689277871.

It is an arithmetic number, because the mean of its divisors is an integer number (1506904747920).

Almost surely, 2^{213323251152000} is an apocalyptic number.

213323251152000 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 213323251152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385767615467520).

213323251152000 is an abundant number, since it is smaller than the sum of its proper divisors (558211979783040).

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

213323251152000 is a wasteful number, since it uses less digits than its factorization.

213323251152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42349 (or 42327 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 213323251152000 in words is "two hundred thirteen trillion, three hundred twenty-three billion, two hundred fifty-one million, one hundred fifty-two thousand".