2013041137 has 2 divisors, whose sum is σ = 2013041138. Its totient is φ = 2013041136.

The previous prime is 2013041057. The next prime is 2013041143. The reversal of 2013041137 is 7311403102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1794030736 + 219010401 = 42356^2 + 14799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013041137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013042137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006520568 + 1006520569.

It is an arithmetic number, because the mean of its divisors is an integer number (1006520569).

Almost surely, 2^2013041137 is an apocalyptic number.

It is an amenable number.

2013041137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013041137 is an equidigital number, since it uses as much as digits as its factorization.

2013041137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2013041137 is about 44866.9269841383. The cubic root of 2013041137 is about 1262.6535864126.

Adding to 2013041137 its reverse (7311403102), we get a palindrome (9324444239).

The spelling of 2013041137 in words is "two billion, thirteen million, forty-one thousand, one hundred thirty-seven".