13430094300 has 576 divisors, whose sum is σ = 51746688000. Its totient is φ = 2923361280.

The previous prime is 13430094287. The next prime is 13430094343. The reversal of 13430094300 is 349003431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58646586 + ... + 58646814.

It is an arithmetic number, because the mean of its divisors is an integer number (89838000).

Almost surely, 2^13430094300 is an apocalyptic number.

13430094300 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 13430094300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25873344000).

13430094300 is an abundant number, since it is smaller than the sum of its proper divisors (38316593700).

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

13430094300 is a wasteful number, since it uses less digits than its factorization.

13430094300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13430094300 its reverse (349003431), we get a palindrome (13779097731).

The spelling of 13430094300 in words is "thirteen billion, four hundred thirty million, ninety-four thousand, three hundred".