2120013013 has 16 divisors (see below), whose sum is σ = 2258855280. Its totient is φ = 1985872896.

The previous prime is 2120013011. The next prime is 2120013023. The reversal of 2120013013 is 3103100212.

It can be written as a sum of positive squares in 8 ways, for example, as 372605809 + 1747407204 = 19303^2 + 41802^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120013013 - 2¹ = 2120013011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120012984 and 2120013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120013011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397581 + ... + 402877.

It is an arithmetic number, because the mean of its divisors is an integer number (141178455).

Almost surely, 2^2120013013 is an apocalyptic number.

It is an amenable number.

2120013013 is a deficient number, since it is larger than the sum of its proper divisors (138842267).

2120013013 is a wasteful number, since it uses less digits than its factorization.

2120013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2120013013 is about 46043.5990448184. The cubic root of 2120013013 is about 1284.6342861523.

Adding to 2120013013 its reverse (3103100212), we get a palindrome (5223113225).

The spelling of 2120013013 in words is "two billion, one hundred twenty million, thirteen thousand, thirteen".