213130801 has 9 divisors (see below), whose sum is σ = 230992299. Its totient is φ = 196560936.

The previous prime is 213130783. The next prime is 213130817. The reversal of 213130801 is 108031312.

The square root of 213130801 is 14599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31528225 + 181602576 = 5615^2 + 13476^2 .

It is not a de Polignac number, because 213130801 - 2²³ = 204742193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213130501) 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 8 ways as a sum of consecutive naturals, for example, 189226 + ... + 190348.

It is an arithmetic number, because the mean of its divisors is an integer number (25665811).

Almost surely, 2^213130801 is an apocalyptic number.

213130801 is the 14599-th square number.

213130801 is the 7300-th centered octagonal number.

It is an amenable number.

213130801 is a deficient number, since it is larger than the sum of its proper divisors (17861498).

213130801 is an frugal number, since it uses more digits than its factorization.

213130801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 213130801 is about 597.3314835541.

Multiplying 213130801 by its product of nonzero digits (144), we get a square (30690835344 = 175188²).

The spelling of 213130801 in words is "two hundred thirteen million, one hundred thirty thousand, eight hundred one".