13351338000 has 1920 divisors, whose sum is σ = 67967078400. Its totient is φ = 2426112000.

The previous prime is 13351337977. The next prime is 13351338017. The reversal of 13351338000 is 83315331.

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

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 702701991 + ... + 702702009.

It is an arithmetic number, because the mean of its divisors is an integer number (35399520).

Almost surely, 2^13351338000 is an apocalyptic number.

13351338000 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 13351338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33983539200).

13351338000 is an abundant number, since it is smaller than the sum of its proper divisors (54615740400).

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

13351338000 is a wasteful number, since it uses less digits than its factorization.

13351338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13351338000 in words is "thirteen billion, three hundred fifty-one million, three hundred thirty-eight thousand".