1131332331105 has 24 divisors (see below), whose sum is σ = 1967954625000. Its totient is φ = 601229986560.

The previous prime is 1131332331091. The next prime is 1131332331121. The reversal of 1131332331105 is 5011332331311.

It is a happy number.

1131332331105 is a `hidden beast` number, since 1 + 1 + 313 + 3 + 2 + 331 + 10 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 433116669456 + 698215661649 = 658116^2 + 835593^2 .

It is not a de Polignac number, because 1131332331105 - 2⁷ = 1131332330977 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44721730 + ... + 44747019.

It is an arithmetic number, because the mean of its divisors is an integer number (81998109375).

Almost surely, 2^{1131332331105} is an apocalyptic number.

1131332331105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1131332331105 is a deficient number, since it is larger than the sum of its proper divisors (836622293895).

1131332331105 is a wasteful number, since it uses less digits than its factorization.

1131332331105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89469041 (or 89469038 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

Adding to 1131332331105 its reverse (5011332331311), we get a palindrome (6142664662416).

The spelling of 1131332331105 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred thirty-one thousand, one hundred five".