2003313121 has 2 divisors, whose sum is σ = 2003313122. Its totient is φ = 2003313120.

The previous prime is 2003313119. The next prime is 2003313181. The reversal of 2003313121 is 1213133002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1934240400 + 69072721 = 43980^2 + 8311^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003313121 - 2¹ = 2003313119 is a prime.

Together with 2003313119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2003313095 and 2003313104.

It is not a weakly prime, because it can be changed into another prime (2003313181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001656560 + 1001656561.

It is an arithmetic number, because the mean of its divisors is an integer number (1001656561).

Almost surely, 2^2003313121 is an apocalyptic number.

It is an amenable number.

2003313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003313121 is an equidigital number, since it uses as much as digits as its factorization.

2003313121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2003313121 is about 44758.3860410538. The cubic root of 2003313121 is about 1260.6163778999.

Adding to 2003313121 its reverse (1213133002), we get a palindrome (3216446123).

The spelling of 2003313121 in words is "two billion, three million, three hundred thirteen thousand, one hundred twenty-one".