1100133231301 has 16 divisors (see below), whose sum is σ = 1205324424304. Its totient is φ = 997980424704.

The previous prime is 1100133231271. The next prime is 1100133231359. The reversal of 1100133231301 is 1031323310011.

It can be written as a sum of positive squares in 8 ways, for example, as 482767884225 + 617365347076 = 694815^2 + 785726^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100133231301 - 2²⁹ = 1099596360389 is a prime.

It is a super-3 number, since 3×1100133231301³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100133231391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1829646 + ... + 2355391.

It is an arithmetic number, because the mean of its divisors is an integer number (75332776519).

Almost surely, 2^{1100133231301} is an apocalyptic number.

It is an amenable number.

1100133231301 is a deficient number, since it is larger than the sum of its proper divisors (105191193003).

1100133231301 is a wasteful number, since it uses less digits than its factorization.

1100133231301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185400.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1100133231301 its reverse (1031323310011), we get a palindrome (2131456541312).

The spelling of 1100133231301 in words is "one trillion, one hundred billion, one hundred thirty-three million, two hundred thirty-one thousand, three hundred one".