13430312400 has 120 divisors (see below), whose sum is σ = 43079461984. Its totient is φ = 3576614400.

The previous prime is 13430312377. The next prime is 13430312447. The reversal of 13430312400 is 421303431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937290 + ... + 951510.

Almost surely, 2^13430312400 is an apocalyptic number.

13430312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13430312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21539730992).

13430312400 is an abundant number, since it is smaller than the sum of its proper divisors (29649149584).

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

13430312400 is a wasteful number, since it uses less digits than its factorization.

13430312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15029 (or 15018 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13430312400 its reverse (421303431), we get a palindrome (13851615831).

It can be divided in two parts, 1343031 and 2400, that added together give a palindrome (1345431).

The spelling of 13430312400 in words is "thirteen billion, four hundred thirty million, three hundred twelve thousand, four hundred".