111123133301313 has 48 divisors (see below), whose sum is σ = 193216334238720. Its totient is φ = 60119448874848.

The previous prime is 111123133301273. The next prime is 111123133301329. The reversal of 111123133301313 is 313103331321111.

111123133301313 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 3 + 13 + 330 + 1 + 313 = 666.

It is not a de Polignac number, because 111123133301313 - 2⁸ = 111123133301057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111123133301333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26960895 + ... + 30808052.

It is an arithmetic number, because the mean of its divisors is an integer number (4025340296640).

Almost surely, 2^{111123133301313} is an apocalyptic number.

It is an amenable number.

111123133301313 is a deficient number, since it is larger than the sum of its proper divisors (82093200937407).

111123133301313 is a wasteful number, since it uses less digits than its factorization.

111123133301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57770586 (or 57770583 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 111123133301313 its reverse (313103331321111), we get a palindrome (424226464622424).

The spelling of 111123133301313 in words is "one hundred eleven trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred one thousand, three hundred thirteen".