213142013 has 12 divisors (see below), whose sum is σ = 253709280. Its totient is φ = 178442712.

The previous prime is 213142009. The next prime is 213142049. The reversal of 213142013 is 310241312.

It is not a de Polignac number, because 213142013 - 2² = 213142009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213141982 and 213142000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213142003) 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, 48473 + ... + 52686.

It is an arithmetic number, because the mean of its divisors is an integer number (21142440).

Almost surely, 2^213142013 is an apocalyptic number.

It is an amenable number.

213142013 is a deficient number, since it is larger than the sum of its proper divisors (40567267).

213142013 is a wasteful number, since it uses less digits than its factorization.

213142013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101216 (or 101209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 213142013 is about 14599.3839938540. The cubic root of 213142013 is about 597.3419578155.

Adding to 213142013 its reverse (310241312), we get a palindrome (523383325).

It can be divided in two parts, 2131 and 42013, that added together give a palindrome (44144).

The spelling of 213142013 in words is "two hundred thirteen million, one hundred forty-two thousand, thirteen".