111331013321333 has 48 divisors (see below), whose sum is σ = 130480884885456. Its totient is φ = 94354184970240.

The previous prime is 111331013321327. The next prime is 111331013321383. The reversal of 111331013321333 is 333123310133111.

It can be written as a sum of positive squares in 24 ways, for example, as 97872695521969 + 13458317799364 = 9893063^2 + 3668558^2 .

It is not a de Polignac number, because 111331013321333 - 2⁴ = 111331013321317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111331013321296 and 111331013321305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111331013321323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096879135 + ... + 2096932227.

It is an arithmetic number, because the mean of its divisors is an integer number (2718351768447).

Almost surely, 2^{111331013321333} is an apocalyptic number.

111331013321333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111331013321333 is a deficient number, since it is larger than the sum of its proper divisors (19149871564123).

111331013321333 is a wasteful number, since it uses less digits than its factorization.

111331013321333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66794 (or 66777 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 111331013321333 its reverse (333123310133111), we get a palindrome (444454323454444).

The spelling of 111331013321333 in words is "one hundred eleven trillion, three hundred thirty-one billion, thirteen million, three hundred twenty-one thousand, three hundred thirty-three".