213130387800 has 864 divisors, whose sum is σ = 843641360640. Its totient is φ = 47729088000.

The previous prime is 213130387783. The next prime is 213130387843. The reversal of 213130387800 is 8783031312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 437639157 + ... + 437639643.

It is an arithmetic number, because the mean of its divisors is an integer number (976436760).

Almost surely, 2^213130387800 is an apocalyptic number.

213130387800 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 213130387800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421820680320).

213130387800 is an abundant number, since it is smaller than the sum of its proper divisors (630510972840).

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

213130387800 is a wasteful number, since it uses less digits than its factorization.

213130387800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 213130387800 in words is "two hundred thirteen billion, one hundred thirty million, three hundred eighty-seven thousand, eight hundred".