13022826000 has 160 divisors (see below), whose sum is σ = 42046118400. Its totient is φ = 3467750400.

The previous prime is 13022825957. The next prime is 13022826001. The reversal of 13022826000 is 62822031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13022826001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6232956 + ... + 6235044.

It is an arithmetic number, because the mean of its divisors is an integer number (262788240).

Almost surely, 2^13022826000 is an apocalyptic number.

13022826000 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 13022826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21023059200).

13022826000 is an abundant number, since it is smaller than the sum of its proper divisors (29023292400).

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

13022826000 is a wasteful number, since it uses less digits than its factorization.

13022826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 13022826000 in words is "thirteen billion, twenty-two million, eight hundred twenty-six thousand".