205131213 has 12 divisors (see below), whose sum is σ = 338629408. Its totient is φ = 117217800.

The previous prime is 205131211. The next prime is 205131221. The reversal of 205131213 is 312131502.

205131213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205131213 - 2¹ = 205131211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205131211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1627963 + ... + 1628088.

Almost surely, 2^205131213 is an apocalyptic number.

It is an amenable number.

205131213 is a deficient number, since it is larger than the sum of its proper divisors (133498195).

205131213 is a wasteful number, since it uses less digits than its factorization.

205131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256064 (or 3256061 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 205131213 is about 14322.4024870131. The cubic root of 205131213 is about 589.7626288256.

Adding to 205131213 its reverse (312131502), we get a palindrome (517262715).

It can be divided in two parts, 2051312 and 13, that added together give a triangular number (2051325 = T₂₀₂₅).

The spelling of 205131213 in words is "two hundred five million, one hundred thirty-one thousand, two hundred thirteen".