73137013 has 2 divisors, whose sum is σ = 73137014. Its totient is φ = 73137012.

The previous prime is 73137007. The next prime is 73137017. The reversal of 73137013 is 31073137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65173329 + 7963684 = 8073^2 + 2822^2 .

It is an emirp because it is prime and its reverse (31073137) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73137013 - 2⁵ = 73136981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73137017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36568506 + 36568507.

It is an arithmetic number, because the mean of its divisors is an integer number (36568507).

Almost surely, 2^73137013 is an apocalyptic number.

It is an amenable number.

73137013 is a deficient number, since it is larger than the sum of its proper divisors (1).

73137013 is an equidigital number, since it uses as much as digits as its factorization.

73137013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1323, while the sum is 25.

The square root of 73137013 is about 8552.0180659304. The cubic root of 73137013 is about 418.1952282791.

The spelling of 73137013 in words is "seventy-three million, one hundred thirty-seven thousand, thirteen".