13721337000 has 384 divisors, whose sum is σ = 53231592960. Its totient is φ = 3122841600.

The previous prime is 13721336983. The next prime is 13721337001. The reversal of 13721337000 is 73312731.

It is not an unprimeable number, because it can be changed into a prime (13721337001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 27278749 + ... + 27279251.

It is an arithmetic number, because the mean of its divisors is an integer number (138623940).

Almost surely, 2^13721337000 is an apocalyptic number.

13721337000 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 13721337000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26615796480).

13721337000 is an abundant number, since it is smaller than the sum of its proper divisors (39510255960).

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

13721337000 is a wasteful number, since it uses less digits than its factorization.

13721337000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

Adding to 13721337000 its reverse (73312731), we get a palindrome (13794649731).

The spelling of 13721337000 in words is "thirteen billion, seven hundred twenty-one million, three hundred thirty-seven thousand".