213198884100 has 432 divisors, whose sum is σ = 736099553280. Its totient is φ = 51372921600.

The previous prime is 213198884089. The next prime is 213198884113. The reversal of 213198884100 is 1488891312.

213198884100 is a `hidden beast` number, since 213 + 19 + 8 + 8 + 8 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 215134605 + ... + 215135595.

Almost surely, 2^213198884100 is an apocalyptic number.

213198884100 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 213198884100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368049776640).

213198884100 is an abundant number, since it is smaller than the sum of its proper divisors (522900669180).

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

213198884100 is a wasteful number, since it uses less digits than its factorization.

213198884100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 213198884100 in words is "two hundred thirteen billion, one hundred ninety-eight million, eight hundred eighty-four thousand, one hundred".