111416401344131 has 16 divisors (see below), whose sum is σ = 120233766105600. Its totient is φ = 102634383415680.

The previous prime is 111416401344121. The next prime is 111416401344341. The reversal of 111416401344131 is 131443104614111.

It is a cyclic number.

It is not a de Polignac number, because 111416401344131 - 2⁶ = 111416401344067 is a prime.

It is a super-3 number, since 3×111416401344131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111416401344091 and 111416401344100.

It is not an unprimeable number, because it can be changed into a prime (111416401344121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32100821 + ... + 35401913.

It is an arithmetic number, because the mean of its divisors is an integer number (7514610381600).

Almost surely, 2^{111416401344131} is an apocalyptic number.

111416401344131 is a deficient number, since it is larger than the sum of its proper divisors (8817364761469).

111416401344131 is a wasteful number, since it uses less digits than its factorization.

111416401344131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306446.

The product of its (nonzero) digits is 13824, while the sum is 35.

Adding to 111416401344131 its reverse (131443104614111), we get a palindrome (242859505958242).

The spelling of 111416401344131 in words is "one hundred eleven trillion, four hundred sixteen billion, four hundred one million, three hundred forty-four thousand, one hundred thirty-one".