2013042121 has 8 divisors (see below), whose sum is σ = 2021419400. Its totient is φ = 2004680448.

The previous prime is 2013042113. The next prime is 2013042127. The reversal of 2013042121 is 1212403102.

It can be written as a sum of positive squares in 4 ways, for example, as 1508545600 + 504496521 = 38840^2 + 22461^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013042121 - 2³ = 2013042113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013042095 and 2013042104.

It is not an unprimeable number, because it can be changed into a prime (2013042127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302785 + ... + 309361.

It is an arithmetic number, because the mean of its divisors is an integer number (252677425).

Almost surely, 2^2013042121 is an apocalyptic number.

It is an amenable number.

2013042121 is a deficient number, since it is larger than the sum of its proper divisors (8377279).

2013042121 is an equidigital number, since it uses as much as digits as its factorization.

2013042121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2013042121 is about 44866.9379498980. The cubic root of 2013042121 is about 1262.6537921462.

Adding to 2013042121 its reverse (1212403102), we get a palindrome (3225445223).

The spelling of 2013042121 in words is "two billion, thirteen million, forty-two thousand, one hundred twenty-one".