213362100 has 360 divisors, whose sum is σ = 816697728. Its totient is φ = 47174400.

The previous prime is 213362069. The next prime is 213362101. The reversal of 213362100 is 1263312.

213362100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213362101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3005065 + ... + 3005135.

Almost surely, 2^213362100 is an apocalyptic number.

213362100 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 213362100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408348864).

213362100 is an abundant number, since it is smaller than the sum of its proper divisors (603335628).

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

213362100 is a wasteful number, since it uses less digits than its factorization.

213362100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213362100 is about 14606.9195931243. The cubic root of 213362100 is about 597.5474889748.

It can be divided in two parts, 21336 and 2100, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 213362100 in words is "two hundred thirteen million, three hundred sixty-two thousand, one hundred".