13133434311 has 16 divisors (see below), whose sum is σ = 19462917600. Its totient is φ = 8752932864.

The previous prime is 13133434283. The next prime is 13133434351. The reversal of 13133434311 is 11343433131.

13133434311 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 343 + 4 + 311 = 666.

13133434311 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 13133434311 - 2²⁵ = 13099879879 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133434351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16825 + ... + 162941.

It is an arithmetic number, because the mean of its divisors is an integer number (1216432350).

Almost surely, 2^13133434311 is an apocalyptic number.

13133434311 is a deficient number, since it is larger than the sum of its proper divisors (6329483289).

13133434311 is a wasteful number, since it uses less digits than its factorization.

13133434311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149455 (or 149449 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 13133434311 its reverse (11343433131), we get a palindrome (24476867442).

The spelling of 13133434311 in words is "thirteen billion, one hundred thirty-three million, four hundred thirty-four thousand, three hundred eleven".