11331313131033 has 24 divisors (see below), whose sum is σ = 18705932107200. Its totient is φ = 6474941805024.

The previous prime is 11331313131031. The next prime is 11331313131059. The reversal of 11331313131033 is 33013131313311.

11331313131033 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 313 + 1 + 310 + 33 = 666.

11331313131033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11331313131033 - 2¹ = 11331313131031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331313130988 and 11331313131006.

It is not an unprimeable number, because it can be changed into a prime (11331313131031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3173098 + ... + 5721116.

It is an arithmetic number, because the mean of its divisors is an integer number (779413837800).

Almost surely, 2^{11331313131033} is an apocalyptic number.

It is an amenable number.

11331313131033 is a deficient number, since it is larger than the sum of its proper divisors (7374618976167).

11331313131033 is a wasteful number, since it uses less digits than its factorization.

11331313131033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618621 (or 2618618 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 11331313131033 its reverse (33013131313311), we get a palindrome (44344444444344).

The spelling of 11331313131033 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, thirty-three".