13120432133 has 16 divisors (see below), whose sum is σ = 13866061440. Its totient is φ = 12390231744.

The previous prime is 13120432079. The next prime is 13120432189. The reversal of 13120432133 is 33123402131.

It is not a de Polignac number, because 13120432133 - 2²⁴ = 13103654917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13120432099 and 13120432108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120432933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700235 + ... + 718727.

It is an arithmetic number, because the mean of its divisors is an integer number (866628840).

Almost surely, 2^13120432133 is an apocalyptic number.

It is an amenable number.

13120432133 is a deficient number, since it is larger than the sum of its proper divisors (745629307).

13120432133 is a wasteful number, since it uses less digits than its factorization.

13120432133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18908.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13120432133 its reverse (33123402131), we get a palindrome (46243834264).

The spelling of 13120432133 in words is "thirteen billion, one hundred twenty million, four hundred thirty-two thousand, one hundred thirty-three".