13134414033 has 32 divisors (see below), whose sum is σ = 21310396800. Its totient is φ = 7945708608.

The previous prime is 13134414023. The next prime is 13134414053. The reversal of 13134414033 is 33041443131.

13134414033 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 13134414033 - 2²⁰ = 13133365457 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 = 13134413988 and 13134414006.

It is not an unprimeable number, because it can be changed into a prime (13134414023) 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 31 ways as a sum of consecutive naturals, for example, 296410 + ... + 337827.

It is an arithmetic number, because the mean of its divisors is an integer number (665949900).

Almost surely, 2^13134414033 is an apocalyptic number.

13134414033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13134414033 is a deficient number, since it is larger than the sum of its proper divisors (8175982767).

13134414033 is a wasteful number, since it uses less digits than its factorization.

13134414033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634318 (or 634312 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13134414033 its reverse (33041443131), we get a palindrome (46175857164).

The spelling of 13134414033 in words is "thirteen billion, one hundred thirty-four million, four hundred fourteen thousand, thirty-three".