1131145635201 has 16 divisors (see below), whose sum is σ = 1515289913280. Its totient is φ = 750551886080.

The previous prime is 1131145635157. The next prime is 1131145635203. The reversal of 1131145635201 is 1025365411311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1131145635201 - 2¹¹ = 1131145633153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1131145635203) by changing a digit.

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, 1374790 + ... + 2037728.

It is an arithmetic number, because the mean of its divisors is an integer number (94705619580).

Almost surely, 2^{1131145635201} is an apocalyptic number.

It is an amenable number.

1131145635201 is a deficient number, since it is larger than the sum of its proper divisors (384144278079).

1131145635201 is a wasteful number, since it uses less digits than its factorization.

1131145635201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665616.

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 1131145635201 in words is "one trillion, one hundred thirty-one billion, one hundred forty-five million, six hundred thirty-five thousand, two hundred one".