11311311300133 has 8 divisors (see below), whose sum is σ = 12897965826648. Its totient is φ = 9827021581824.

The previous prime is 11311311300127. The next prime is 11311311300137. The reversal of 11311311300133 is 33100311311311.

It can be written as a sum of positive squares in 4 ways, for example, as 2482461789889 + 8828849510244 = 1575583^2 + 2971338^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11311311300133 - 2⁵ = 11311311300101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311311300137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25591201816 + ... + 25591202257.

It is an arithmetic number, because the mean of its divisors is an integer number (1612245728331).

Almost surely, 2^{11311311300133} is an apocalyptic number.

11311311300133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11311311300133 is a deficient number, since it is larger than the sum of its proper divisors (1586654526515).

11311311300133 is a wasteful number, since it uses less digits than its factorization.

11311311300133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51182404103.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 11311311300133 its reverse (33100311311311), we get a palindrome (44411622611444).

The spelling of 11311311300133 in words is "eleven trillion, three hundred eleven billion, three hundred eleven million, three hundred thousand, one hundred thirty-three".