2013120213 has 24 divisors (see below), whose sum is σ = 2962953504. Its totient is φ = 1208588160.

The previous prime is 2013120203. The next prime is 2013120223. The reversal of 2013120213 is 3120213102.

It is an interprime number because it is at equal distance from previous prime (2013120203) and next prime (2013120223).

It is not a de Polignac number, because 2013120213 - 2¹⁸ = 2012858069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013120192 and 2013120201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013120203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50206 + ... + 80912.

It is an arithmetic number, because the mean of its divisors is an integer number (123456396).

Almost surely, 2^2013120213 is an apocalyptic number.

It is an amenable number.

2013120213 is a deficient number, since it is larger than the sum of its proper divisors (949833291).

2013120213 is a wasteful number, since it uses less digits than its factorization.

2013120213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30805 (or 30764 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013120213 is about 44867.8082036553. The cubic root of 2013120213 is about 1262.6701193232.

Adding to 2013120213 its reverse (3120213102), we get a palindrome (5133333315).

The spelling of 2013120213 in words is "two billion, thirteen million, one hundred twenty thousand, two hundred thirteen".