113729321 has 2 divisors, whose sum is σ = 113729322. Its totient is φ = 113729320.

The previous prime is 113729311. The next prime is 113729327. The reversal of 113729321 is 123927311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111936400 + 1792921 = 10580^2 + 1339^2 .

It is an emirp because it is prime and its reverse (123927311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113729321 - 2¹⁸ = 113467177 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (113729327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56864660 + 56864661.

It is an arithmetic number, because the mean of its divisors is an integer number (56864661).

Almost surely, 2^113729321 is an apocalyptic number.

It is an amenable number.

113729321 is a deficient number, since it is larger than the sum of its proper divisors (1).

113729321 is an equidigital number, since it uses as much as digits as its factorization.

113729321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 29.

The square root of 113729321 is about 10664.3950133142. The cubic root of 113729321 is about 484.4966911783.

The spelling of 113729321 in words is "one hundred thirteen million, seven hundred twenty-nine thousand, three hundred twenty-one".