1331111441 has 12 divisors (see below), whose sum is σ = 1549190916. Its totient is φ = 1138917120.

The previous prime is 1331111437. The next prime is 1331111461. The reversal of 1331111441 is 1441111331.

It can be written as a sum of positive squares in 2 ways, for example, as 1211318416 + 119793025 = 34804^2 + 10945^2 .

It is not a de Polignac number, because 1331111441 - 2² = 1331111437 is a prime.

It is a super-2 number, since 2×1331111441² = 3543715336722192962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331111401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321500 + ... + 325613.

It is an arithmetic number, because the mean of its divisors is an integer number (129099243).

Almost surely, 2^1331111441 is an apocalyptic number.

1331111441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331111441 is a deficient number, since it is larger than the sum of its proper divisors (218079475).

1331111441 is a wasteful number, since it uses less digits than its factorization.

1331111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647152 (or 647141 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 1331111441 is about 36484.3999676574. The cubic root of 1331111441 is about 1100.0306991432.

Adding to 1331111441 its reverse (1441111331), we get a palindrome (2772222772).

The spelling of 1331111441 in words is "one billion, three hundred thirty-one million, one hundred eleven thousand, four hundred forty-one".