13000434420 has 48 divisors (see below), whose sum is σ = 36839799360. Its totient is φ = 3425012736.

The previous prime is 13000434407. The next prime is 13000434427. The reversal of 13000434420 is 2443400031.

13000434420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13000434420² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000434427) 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, 1300285 + ... + 1310244.

It is an arithmetic number, because the mean of its divisors is an integer number (767495820).

Almost surely, 2^13000434420 is an apocalyptic number.

13000434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000434420 is an abundant number, since it is smaller than the sum of its proper divisors (23839364940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13000434420 is a wasteful number, since it uses less digits than its factorization.

13000434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610624 (or 2610622 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13000434420 its reverse (2443400031), we get a palindrome (15443834451).

The spelling of 13000434420 in words is "thirteen billion, four hundred thirty-four thousand, four hundred twenty".