73331413081 has 2 divisors, whose sum is σ = 73331413082. Its totient is φ = 73331413080.

The previous prime is 73331413031. The next prime is 73331413087. The reversal of 73331413081 is 18031413337.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72137365056 + 1194048025 = 268584^2 + 34555^2 .

It is a cyclic number.

It is not a de Polignac number, because 73331413081 - 2⁷ = 73331412953 is a prime.

It is a super-3 number, since 3×73331413081³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (73331413087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36665706540 + 36665706541.

It is an arithmetic number, because the mean of its divisors is an integer number (36665706541).

Almost surely, 2^73331413081 is an apocalyptic number.

It is an amenable number.

73331413081 is a deficient number, since it is larger than the sum of its proper divisors (1).

73331413081 is an equidigital number, since it uses as much as digits as its factorization.

73331413081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 73331413081 in words is "seventy-three billion, three hundred thirty-one million, four hundred thirteen thousand, eighty-one".