2013145121 has 16 divisors (see below), whose sum is σ = 2188931136. Its totient is φ = 1840435776.

The previous prime is 2013145097. The next prime is 2013145129. The reversal of 2013145121 is 1215413102.

It is a cyclic number.

It is not a de Polignac number, because 2013145121 - 2²² = 2008950817 is a prime.

It is a super-3 number, since 3×2013145121³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013145093 and 2013145102.

It is not an unprimeable number, because it can be changed into a prime (2013145129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634886 + ... + 638048.

It is an arithmetic number, because the mean of its divisors is an integer number (136808196).

Almost surely, 2^2013145121 is an apocalyptic number.

It is an amenable number.

2013145121 is a deficient number, since it is larger than the sum of its proper divisors (175786015).

2013145121 is a wasteful number, since it uses less digits than its factorization.

2013145121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2013145121 is about 44868.0857737435. The cubic root of 2013145121 is about 1262.6753269039.

Adding to 2013145121 its reverse (1215413102), we get a palindrome (3228558223).

The spelling of 2013145121 in words is "two billion, thirteen million, one hundred forty-five thousand, one hundred twenty-one".