2120120013 has 24 divisors (see below), whose sum is σ = 3242280384. Its totient is φ = 1229050240.

The previous prime is 2120120011. The next prime is 2120120027. The reversal of 2120120013 is 3100210212.

It is not a de Polignac number, because 2120120013 - 2¹ = 2120120011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120120011) 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, 118620 + ... + 135317.

It is an arithmetic number, because the mean of its divisors is an integer number (135095016).

Almost surely, 2^2120120013 is an apocalyptic number.

2120120013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2120120013 is a deficient number, since it is larger than the sum of its proper divisors (1122160371).

2120120013 is a wasteful number, since it uses less digits than its factorization.

2120120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253985 (or 253974 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2120120013 is about 46044.7609723408. The cubic root of 2120120013 is about 1284.6558982140.

Adding to 2120120013 its reverse (3100210212), we get a palindrome (5220330225).

It can be divided in two parts, 21201 and 20013, that added together give a palindrome (41214).

The spelling of 2120120013 in words is "two billion, one hundred twenty million, one hundred twenty thousand, thirteen".