111012313413441 has 64 divisors (see below), whose sum is σ = 166154706432000. Its totient is φ = 65355414209280.

The previous prime is 111012313413377. The next prime is 111012313413457. The reversal of 111012313413441 is 144314313210111.

It is a happy number.

It is not a de Polignac number, because 111012313413441 - 2⁶ = 111012313413377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111012313413399 and 111012313413408.

It is not an unprimeable number, because it can be changed into a prime (111012313417441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251234740 + ... + 251676218.

It is an arithmetic number, because the mean of its divisors is an integer number (2596167288000).

Almost surely, 2^{111012313413441} is an apocalyptic number.

111012313413441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111012313413441 is a deficient number, since it is larger than the sum of its proper divisors (55142393018559).

111012313413441 is a wasteful number, since it uses less digits than its factorization.

111012313413441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442974.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 111012313413441 its reverse (144314313210111), we get a palindrome (255326626623552).

The spelling of 111012313413441 in words is "one hundred eleven trillion, twelve billion, three hundred thirteen million, four hundred thirteen thousand, four hundred forty-one".