213131 has 2 divisors, whose sum is σ = 213132. Its totient is φ = 213130.

The previous prime is 213119. The next prime is 213133. The reversal of 213131 is 131312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213131 - 2⁶ = 213067 is a prime.

It is a super-2 number, since 2×213131² = 90849646322, which contains 22 as substring.

Together with 213133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106565 + 106566.

It is an arithmetic number, because the mean of its divisors is an integer number (106566).

2²¹³¹³¹ is an apocalyptic number.

213131 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131 is an equidigital number, since it uses as much as digits as its factorization.

213131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18, while the sum is 11.

The square root of 213131 is about 461.6611311341. The cubic root of 213131 is about 59.7331669463.

Adding to 213131 its reverse (131312), we get a palindrome (344443).

It can be divided in two parts, 2 and 13131, that multiplied together give a palindrome (26262).

The spelling of 213131 in words is "two hundred thirteen thousand, one hundred thirty-one".