73123021313 has 2 divisors, whose sum is σ = 73123021314. Its totient is φ = 73123021312.

The previous prime is 73123021277. The next prime is 73123021327. The reversal of 73123021313 is 31312032137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68062548544 + 5060472769 = 260888^2 + 71137^2 .

It is an emirp because it is prime and its reverse (31312032137) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73123021313 - 2⁶ = 73123021249 is a prime.

It is not a weakly prime, because it can be changed into another prime (73123021513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36561510656 + 36561510657.

It is an arithmetic number, because the mean of its divisors is an integer number (36561510657).

Almost surely, 2^73123021313 is an apocalyptic number.

It is an amenable number.

73123021313 is a deficient number, since it is larger than the sum of its proper divisors (1).

73123021313 is an equidigital number, since it uses as much as digits as its factorization.

73123021313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 73123021313 in words is "seventy-three billion, one hundred twenty-three million, twenty-one thousand, three hundred thirteen".