213031800 has 144 divisors (see below), whose sum is σ = 753207000. Its totient is φ = 53809920.

The previous prime is 213031799. The next prime is 213031813. The reversal of 213031800 is 8130312.

213031800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213031800² = 90765095622480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31086 + ... + 37314.

Almost surely, 2^213031800 is an apocalyptic number.

213031800 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 213031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376603500).

213031800 is an abundant number, since it is smaller than the sum of its proper divisors (540175200).

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

213031800 is a wasteful number, since it uses less digits than its factorization.

213031800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 213031800 is about 14595.6089287155. The cubic root of 213031800 is about 597.2389807769.

It can be divided in two parts, 2130 and 31800, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 213031800 in words is "two hundred thirteen million, thirty-one thousand, eight hundred".