111003320131121 has 6 divisors (see below), whose sum is σ = 122011913863266. Its totient is φ = 100912109210000.

The previous prime is 111003320131073. The next prime is 111003320131211. The reversal of 111003320131121 is 121131023300111.

It can be written as a sum of positive squares in only one way, i.e., 107554633431025 + 3448686700096 = 10370855^2 + 1857064^2 .

It is not a de Polignac number, because 111003320131121 - 2¹⁴ = 111003320114737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111003320131093 and 111003320131102.

It is not an unprimeable number, because it can be changed into a prime (111003320131721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458691405380 + ... + 458691405621.

It is an arithmetic number, because the mean of its divisors is an integer number (20335318977211).

Almost surely, 2^{111003320131121} is an apocalyptic number.

111003320131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111003320131121 is a deficient number, since it is larger than the sum of its proper divisors (11008593732145).

111003320131121 is an equidigital number, since it uses as much as digits as its factorization.

111003320131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917382811023 (or 917382811012 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 111003320131121 its reverse (121131023300111), we get a palindrome (232134343431232).

The spelling of 111003320131121 in words is "one hundred eleven trillion, three billion, three hundred twenty million, one hundred thirty-one thousand, one hundred twenty-one".