213125013 has 10 divisors (see below), whose sum is σ = 318372054. Its totient is φ = 142083288.

The previous prime is 213124999. The next prime is 213125021. The reversal of 213125013 is 310521312.

It can be written as a sum of positive squares in only one way, i.e., 213101604 + 23409 = 14598^2 + 153^2 .

It is not a de Polignac number, because 213125013 - 2¹² = 213120917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213125053) 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 9 ways as a sum of consecutive naturals, for example, 1315506 + ... + 1315667.

Almost surely, 2^213125013 is an apocalyptic number.

It is an amenable number.

213125013 is a deficient number, since it is larger than the sum of its proper divisors (105247041).

213125013 is an equidigital number, since it uses as much as digits as its factorization.

213125013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631185 (or 2631176 counting only the distinct ones).

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

The square root of 213125013 is about 14598.8017658985. The cubic root of 213125013 is about 597.3260762550.

Adding to 213125013 its reverse (310521312), we get a palindrome (523646325).

The spelling of 213125013 in words is "two hundred thirteen million, one hundred twenty-five thousand, thirteen".