13203430400 has 132 divisors (see below), whose sum is σ = 32851942728. Its totient is φ = 5261475840.

The previous prime is 13203430369. The next prime is 13203430433. The reversal of 13203430400 is 403430231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8114387 + ... + 8116013.

It is an arithmetic number, because the mean of its divisors is an integer number (248878354).

Almost surely, 2^13203430400 is an apocalyptic number.

13203430400 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 13203430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425971364).

13203430400 is an abundant number, since it is smaller than the sum of its proper divisors (19648512328).

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

13203430400 is a wasteful number, since it uses less digits than its factorization.

13203430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13203430400 its reverse (403430231), we get a palindrome (13606860631).

The spelling of 13203430400 in words is "thirteen billion, two hundred three million, four hundred thirty thousand, four hundred".