1131591040128 has 128 divisors (see below), whose sum is σ = 3340136553600. Its totient is φ = 377155077120.

The previous prime is 1131591040091. The next prime is 1131591040159. The reversal of 1131591040128 is 8210401951311.

1131591040128 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 591 + 0 + 40 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1131591040092 and 1131591040101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56084250 + ... + 56104422.

It is an arithmetic number, because the mean of its divisors is an integer number (26094816825).

Almost surely, 2^{1131591040128} is an apocalyptic number.

1131591040128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1131591040128 is an abundant number, since it is smaller than the sum of its proper divisors (2208545513472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131591040128 is a wasteful number, since it uses less digits than its factorization.

1131591040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36427 (or 36409 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Adding to 1131591040128 its reverse (8210401951311), we get a palindrome (9341992991439).

The spelling of 1131591040128 in words is "one trillion, one hundred thirty-one billion, five hundred ninety-one million, forty thousand, one hundred twenty-eight".