13318777000 has 128 divisors (see below), whose sum is σ = 32335205760. Its totient is φ = 5131123200.

The previous prime is 13318776967. The next prime is 13318777013. The reversal of 13318777000 is 77781331.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3136879 + ... + 3141121.

It is an arithmetic number, because the mean of its divisors is an integer number (252618795).

Almost surely, 2^13318777000 is an apocalyptic number.

13318777000 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 13318777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167602880).

13318777000 is an abundant number, since it is smaller than the sum of its proper divisors (19016428760).

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

13318777000 is a wasteful number, since it uses less digits than its factorization.

13318777000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The spelling of 13318777000 in words is "thirteen billion, three hundred eighteen million, seven hundred seventy-seven thousand".