111008321 has 2 divisors, whose sum is σ = 111008322. Its totient is φ = 111008320.

The previous prime is 111008311. The next prime is 111008363. The reversal of 111008321 is 123800111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79210000 + 31798321 = 8900^2 + 5639^2 .

It is an emirp because it is prime and its reverse (123800111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111008321 - 2²² = 106814017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111008321.

It is not a weakly prime, because it can be changed into another prime (111008311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55504160 + 55504161.

It is an arithmetic number, because the mean of its divisors is an integer number (55504161).

Almost surely, 2^111008321 is an apocalyptic number.

It is an amenable number.

111008321 is a deficient number, since it is larger than the sum of its proper divisors (1).

111008321 is an equidigital number, since it uses as much as digits as its factorization.

111008321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 111008321 is about 10536.0486426364. The cubic root of 111008321 is about 480.6015620365.

Adding to 111008321 its reverse (123800111), we get a palindrome (234808432).

The spelling of 111008321 in words is "one hundred eleven million, eight thousand, three hundred twenty-one".