13514321000 has 128 divisors (see below), whose sum is σ = 32152723200. Its totient is φ = 5316076800.

The previous prime is 13514320987. The next prime is 13514321027. The reversal of 13514321000 is 12341531.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18436634 + ... + 18437366.

It is an arithmetic number, because the mean of its divisors is an integer number (251193150).

Almost surely, 2^13514321000 is an apocalyptic number.

13514321000 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 13514321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076361600).

13514321000 is an abundant number, since it is smaller than the sum of its proper divisors (18638402200).

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

13514321000 is a wasteful number, since it uses less digits than its factorization.

13514321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13514321000 its reverse (12341531), we get a palindrome (13526662531).

The spelling of 13514321000 in words is "thirteen billion, five hundred fourteen million, three hundred twenty-one thousand".