213431232300 has 432 divisors, whose sum is σ = 736375368960. Its totient is φ = 47309184000.

The previous prime is 213431232283. The next prime is 213431232347. The reversal of 213431232300 is 3232134312.

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, 60787545 + ... + 60791055.

Almost surely, 2^213431232300 is an apocalyptic number.

213431232300 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 213431232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368187684480).

213431232300 is an abundant number, since it is smaller than the sum of its proper divisors (522944136660).

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

213431232300 is a wasteful number, since it uses less digits than its factorization.

213431232300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213431232300 its reverse (3232134312), we get a palindrome (216663366612).

It can be divided in two parts, 2134312 and 32300, that added together give a palindrome (2166612).

The spelling of 213431232300 in words is "two hundred thirteen billion, four hundred thirty-one million, two hundred thirty-two thousand, three hundred".