13311201144033 has 56 divisors (see below), whose sum is σ = 21705679810920. Its totient is φ = 8110403769600.

The previous prime is 13311201144013. The next prime is 13311201144037. The reversal of 13311201144033 is 33044110211331.

13311201144033 is a `hidden beast` number, since 1 + 3 + 3 + 11 + 201 + 1 + 440 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4483243012689 + 8827958131344 = 2117367^2 + 2971188^2 .

It is not a de Polignac number, because 13311201144033 - 2⁵ = 13311201144001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13311201143988 and 13311201144006.

It is not an unprimeable number, because it can be changed into a prime (13311201144037) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5996188 + ... + 7910541.

It is an arithmetic number, because the mean of its divisors is an integer number (387601425195).

Almost surely, 2^{13311201144033} is an apocalyptic number.

13311201144033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13311201144033 is a deficient number, since it is larger than the sum of its proper divisors (8394478666887).

13311201144033 is a wasteful number, since it uses less digits than its factorization.

13311201144033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13906861 (or 13906846 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13311201144033 its reverse (33044110211331), we get a palindrome (46355311355364).

The spelling of 13311201144033 in words is "thirteen trillion, three hundred eleven billion, two hundred one million, one hundred forty-four thousand, thirty-three".