213132314400 has 144 divisors (see below), whose sum is σ = 699209247744. Its totient is φ = 56387681280.

The previous prime is 213132314341. The next prime is 213132314411. The reversal of 213132314400 is 4413231312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44827 + ... + 654426.

It is an arithmetic number, because the mean of its divisors is an integer number (4855619776).

Almost surely, 2^213132314400 is an apocalyptic number.

213132314400 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 213132314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349604623872).

213132314400 is an abundant number, since it is smaller than the sum of its proper divisors (486076933344).

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

213132314400 is a wasteful number, since it uses less digits than its factorization.

213132314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699403 (or 699390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213132314400 its reverse (4413231312), we get a palindrome (217545545712).

The spelling of 213132314400 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred fourteen thousand, four hundred".