213013200 has 60 divisors (see below), whose sum is σ = 682356128. Its totient is φ = 56803200.

The previous prime is 213013153. The next prime is 213013211. The reversal of 213013200 is 2310312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87556 + ... + 89955.

Almost surely, 2^213013200 is an apocalyptic number.

213013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013200 is an abundant number, since it is smaller than the sum of its proper divisors (469342928).

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

213013200 is a wasteful number, since it uses less digits than its factorization.

213013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177532 (or 177521 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213013200 is about 14594.9717368688. The cubic root of 213013200 is about 597.2215984450.

Adding to 213013200 its reverse (2310312), we get a palindrome (215323512).

The spelling of 213013200 in words is "two hundred thirteen million, thirteen thousand, two hundred".