3013120133137 has 2 divisors, whose sum is σ = 3013120133138. Its totient is φ = 3013120133136.

The previous prime is 3013120133123. The next prime is 3013120133143. The reversal of 3013120133137 is 7313310213103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2825007962176 + 188112170961 = 1680776^2 + 433719^2 .

It is an emirp because it is prime and its reverse (7313310213103) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3013120133137 - 2¹¹ = 3013120131089 is a prime.

It is not a weakly prime, because it can be changed into another prime (3013120133167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506560066568 + 1506560066569.

It is an arithmetic number, because the mean of its divisors is an integer number (1506560066569).

Almost surely, 2^{3013120133137} is an apocalyptic number.

It is an amenable number.

3013120133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3013120133137 is an equidigital number, since it uses as much as digits as its factorization.

3013120133137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 28.

The spelling of 3013120133137 in words is "three trillion, thirteen billion, one hundred twenty million, one hundred thirty-three thousand, one hundred thirty-seven".