2013003121 has 2 divisors, whose sum is σ = 2013003122. Its totient is φ = 2013003120.

The previous prime is 2013003119. The next prime is 2013003163. The reversal of 2013003121 is 1213003102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2004800625 + 8202496 = 44775^2 + 2864^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013003121 - 2¹ = 2013003119 is a prime.

Together with 2013003119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2013003101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006501560 + 1006501561.

It is an arithmetic number, because the mean of its divisors is an integer number (1006501561).

Almost surely, 2^2013003121 is an apocalyptic number.

It is an amenable number.

2013003121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013003121 is an equidigital number, since it uses as much as digits as its factorization.

2013003121 is an evil number, because the sum of its binary digits is even.

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

The square root of 2013003121 is about 44866.5033293213. The cubic root of 2013003121 is about 1262.6456380172.

Adding to 2013003121 its reverse (1213003102), we get a palindrome (3226006223).

The spelling of 2013003121 in words is "two billion, thirteen million, three thousand, one hundred twenty-one".