213345380305200 has 720 divisors, whose sum is σ = 830841813394208. Its totient is φ = 46451294208000.

The previous prime is 213345380305157. The next prime is 213345380305241. The reversal of 213345380305200 is 2503083543312.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68313840 + ... + 71368560.

Almost surely, 2^{213345380305200} is an apocalyptic number.

213345380305200 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 213345380305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415420906697104).

213345380305200 is an abundant number, since it is smaller than the sum of its proper divisors (617496433089008).

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

213345380305200 is a wasteful number, since it uses less digits than its factorization.

213345380305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054814 (or 3054792 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 213345380305200 in words is "two hundred thirteen trillion, three hundred forty-five billion, three hundred eighty million, three hundred five thousand, two hundred".