2013313037 has 2 divisors, whose sum is σ = 2013313038. Its totient is φ = 2013313036.

The previous prime is 2013312971. The next prime is 2013313117. The reversal of 2013313037 is 7303133102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1636526116 + 376786921 = 40454^2 + 19411^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013313037 - 2²⁸ = 1744877581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013313637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006656518 + 1006656519.

It is an arithmetic number, because the mean of its divisors is an integer number (1006656519).

Almost surely, 2^2013313037 is an apocalyptic number.

It is an amenable number.

2013313037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013313037 is an equidigital number, since it uses as much as digits as its factorization.

2013313037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 2013313037 is about 44869.9569534003. The cubic root of 2013313037 is about 1262.7104324200.

Adding to 2013313037 its reverse (7303133102), we get a palindrome (9316446139).

The spelling of 2013313037 in words is "two billion, thirteen million, three hundred thirteen thousand, thirty-seven".