13430091000 has 256 divisors, whose sum is σ = 44047411200. Its totient is φ = 3400320000.

The previous prime is 13430090959. The next prime is 13430091029. The reversal of 13430091000 is 19003431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10418356 + ... + 10419644.

It is an arithmetic number, because the mean of its divisors is an integer number (172060200).

Almost surely, 2^13430091000 is an apocalyptic number.

13430091000 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 13430091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22023705600).

13430091000 is an abundant number, since it is smaller than the sum of its proper divisors (30617320200).

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

13430091000 is a wasteful number, since it uses less digits than its factorization.

13430091000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13430091000 its reverse (19003431), we get a palindrome (13449094431).

The spelling of 13430091000 in words is "thirteen billion, four hundred thirty million, ninety-one thousand".