213099201 has 32 divisors (see below), whose sum is σ = 362465280. Its totient is φ = 121210128.

The previous prime is 213099179. The next prime is 213099241. The reversal of 213099201 is 102990312.

It is not a de Polignac number, because 213099201 - 2¹⁴ = 213082817 is a prime.

It is a super-2 number, since 2×213099201² = 90822538933676802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213099241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40420 + ... + 45386.

It is an arithmetic number, because the mean of its divisors is an integer number (11327040).

Almost surely, 2^213099201 is an apocalyptic number.

213099201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213099201 is a deficient number, since it is larger than the sum of its proper divisors (149366079).

213099201 is a wasteful number, since it uses less digits than its factorization.

213099201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 213099201 is about 14597.9176939727. The cubic root of 213099201 is about 597.3019608264.

The spelling of 213099201 in words is "two hundred thirteen million, ninety-nine thousand, two hundred one".