13432400033 has 12 divisors (see below), whose sum is σ = 14899910508. Its totient is φ = 12096714240.

The previous prime is 13432400029. The next prime is 13432400041. The reversal of 13432400033 is 33000423431.

It can be written as a sum of positive squares in 6 ways, for example, as 6353365264 + 7079034769 = 79708^2 + 84137^2 .

It is not a de Polignac number, because 13432400033 - 2² = 13432400029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13432399981 and 13432400008.

It is not an unprimeable number, because it can be changed into a prime (13432400633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 962360 + ... + 976217.

It is an arithmetic number, because the mean of its divisors is an integer number (1241659209).

Almost surely, 2^13432400033 is an apocalyptic number.

13432400033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13432400033 is a deficient number, since it is larger than the sum of its proper divisors (1467510475).

13432400033 is a wasteful number, since it uses less digits than its factorization.

13432400033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938644 (or 1938631 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 13432400033 its reverse (33000423431), we get a palindrome (46432823464).

The spelling of 13432400033 in words is "thirteen billion, four hundred thirty-two million, four hundred thousand, thirty-three".