73135000313 has 2 divisors, whose sum is σ = 73135000314. Its totient is φ = 73135000312.

The previous prime is 73135000249. The next prime is 73135000319. The reversal of 73135000313 is 31300053137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60109799929 + 13025200384 = 245173^2 + 114128^2 .

It is a cyclic number.

It is not a de Polignac number, because 73135000313 - 2⁶ = 73135000249 is a prime.

It is not a weakly prime, because it can be changed into another prime (73135000319) 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, 36567500156 + 36567500157.

It is an arithmetic number, because the mean of its divisors is an integer number (36567500157).

Almost surely, 2^73135000313 is an apocalyptic number.

It is an amenable number.

73135000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

73135000313 is an equidigital number, since it uses as much as digits as its factorization.

73135000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 26.

The spelling of 73135000313 in words is "seventy-three billion, one hundred thirty-five million, three hundred thirteen", and thus it is an aban number.