73330100113 has 2 divisors, whose sum is σ = 73330100114. Its totient is φ = 73330100112.

The previous prime is 73330100111. The next prime is 73330100143. The reversal of 73330100113 is 31100103337.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42231483009 + 31098617104 = 205503^2 + 176348^2 .

It is an emirp because it is prime and its reverse (31100103337) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73330100113 - 2¹ = 73330100111 is a prime.

It is a super-2 number, since 2×73330100113² (a number of 23 digits) contains 22 as substring.

Together with 73330100111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (73330100111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36665050056 + 36665050057.

It is an arithmetic number, because the mean of its divisors is an integer number (36665050057).

Almost surely, 2^73330100113 is an apocalyptic number.

It is an amenable number.

73330100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

73330100113 is an equidigital number, since it uses as much as digits as its factorization.

73330100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 22.

The spelling of 73330100113 in words is "seventy-three billion, three hundred thirty million, one hundred thousand, one hundred thirteen".