1100133131301 has 12 divisors (see below), whose sum is σ = 1632029330412. Its totient is φ = 713599868736.

The previous prime is 1100133131239. The next prime is 1100133131323. The reversal of 1100133131301 is 1031313310011.

1100133131301 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 331 + 31 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1067471244225 + 32661887076 = 1033185^2 + 180726^2 .

It is not a de Polignac number, because 1100133131301 - 2¹⁰ = 1100133130277 is a prime.

It is a super-2 number, since 2×1100133131301² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100133131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1651851216 + ... + 1651851881.

It is an arithmetic number, because the mean of its divisors is an integer number (136002444201).

Almost surely, 2^{1100133131301} is an apocalyptic number.

It is an amenable number.

1100133131301 is a deficient number, since it is larger than the sum of its proper divisors (531896199111).

1100133131301 is a wasteful number, since it uses less digits than its factorization.

1100133131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303703140 (or 3303703137 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1100133131301 its reverse (1031313310011), we get a palindrome (2131446441312).

The spelling of 1100133131301 in words is "one trillion, one hundred billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred one".