111123001100313 has 20 divisors (see below), whose sum is σ = 166005648838260. Its totient is φ = 74078835869952.

The previous prime is 111123001100311. The next prime is 111123001100329. The reversal of 111123001100313 is 313001100321111.

111123001100313 is a `hidden beast` number, since 1 + 1 + 11 + 230 + 0 + 110 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28096498175769 + 83026502924544 = 5300613^2 + 9111888^2 .

It is not a de Polignac number, because 111123001100313 - 2¹ = 111123001100311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111123001100311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27395808 + ... + 31189361.

It is an arithmetic number, because the mean of its divisors is an integer number (8300282441913).

Almost surely, 2^{111123001100313} is an apocalyptic number.

It is an amenable number.

111123001100313 is a deficient number, since it is larger than the sum of its proper divisors (54882647737947).

111123001100313 is an equidigital number, since it uses as much as digits as its factorization.

111123001100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58608598 (or 58608589 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 111123001100313 its reverse (313001100321111), we get a palindrome (424124101421424).

The spelling of 111123001100313 in words is "one hundred eleven trillion, one hundred twenty-three billion, one million, one hundred thousand, three hundred thirteen".