2013121057 has 2 divisors, whose sum is σ = 2013121058. Its totient is φ = 2013121056.

The previous prime is 2013121037. The next prime is 2013121081. The reversal of 2013121057 is 7501213102.

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., 1793607201 + 219513856 = 42351^2 + 14816^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013121057 - 2⁷ = 2013120929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013121037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006560528 + 1006560529.

It is an arithmetic number, because the mean of its divisors is an integer number (1006560529).

Almost surely, 2^2013121057 is an apocalyptic number.

It is an amenable number.

2013121057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013121057 is an equidigital number, since it uses as much as digits as its factorization.

2013121057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 2013121057 is about 44867.8176090614. The cubic root of 2013121057 is about 1262.6702957812.

Adding to 2013121057 its reverse (7501213102), we get a palindrome (9514334159).

The spelling of 2013121057 in words is "two billion, thirteen million, one hundred twenty-one thousand, fifty-seven".