111312313100313 has 32 divisors (see below), whose sum is σ = 160192536024192. Its totient is φ = 68345978342400.

The previous prime is 111312313100309. The next prime is 111312313100371. The reversal of 111312313100313 is 313001313213111.

It is not a de Polignac number, because 111312313100313 - 2² = 111312313100309 is a prime.

It is a super-2 number, since 2×111312313100313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111312313105313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33498906 + ... + 36671532.

It is an arithmetic number, because the mean of its divisors is an integer number (5006016750756).

Almost surely, 2^{111312313100313} is an apocalyptic number.

111312313100313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111312313100313 is a deficient number, since it is larger than the sum of its proper divisors (48880222923879).

111312313100313 is a wasteful number, since it uses less digits than its factorization.

111312313100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174665.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 111312313100313 its reverse (313001313213111), we get a palindrome (424313626313424).

The spelling of 111312313100313 in words is "one hundred eleven trillion, three hundred twelve billion, three hundred thirteen million, one hundred thousand, three hundred thirteen".