1131201133101 has 48 divisors (see below), whose sum is σ = 1814953593600. Its totient is φ = 696019454208.

The previous prime is 1131201133063. The next prime is 1131201133187. The reversal of 1131201133101 is 1013311021311.

1131201133101 is a `hidden beast` number, since 1 + 131 + 201 + 1 + 331 + 0 + 1 = 666.

It is not a de Polignac number, because 1131201133101 - 2⁷ = 1131201132973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131201133901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39770581 + ... + 39799013.

It is an arithmetic number, because the mean of its divisors is an integer number (37811533200).

Almost surely, 2^{1131201133101} is an apocalyptic number.

It is an amenable number.

1131201133101 is a deficient number, since it is larger than the sum of its proper divisors (683752460499).

1131201133101 is a wasteful number, since it uses less digits than its factorization.

1131201133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37187 (or 37168 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1131201133101 its reverse (1013311021311), we get a palindrome (2144512154412).

The spelling of 1131201133101 in words is "one trillion, one hundred thirty-one billion, two hundred one million, one hundred thirty-three thousand, one hundred one".