111303313102311 has 32 divisors (see below), whose sum is σ = 164469269809152. Its totient is φ = 66390424836960.

The previous prime is 111303313102277. The next prime is 111303313102343. The reversal of 111303313102311 is 113201313303111.

It is not a de Polignac number, because 111303313102311 - 2²⁵ = 111303279547879 is a prime.

It is a super-3 number, since 3×111303313102311³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111303313102391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76535305 + ... + 77976018.

It is an arithmetic number, because the mean of its divisors is an integer number (5139664681536).

Almost surely, 2^{111303313102311} is an apocalyptic number.

111303313102311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111303313102311 is a deficient number, since it is larger than the sum of its proper divisors (53165956706841).

111303313102311 is a wasteful number, since it uses less digits than its factorization.

111303313102311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154511683.

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

Adding to 111303313102311 its reverse (113201313303111), we get a palindrome (224504626405422).

The spelling of 111303313102311 in words is "one hundred eleven trillion, three hundred three billion, three hundred thirteen million, one hundred two thousand, three hundred eleven".