13228778310 has 256 divisors, whose sum is σ = 39116390400. Its totient is φ = 2821478400.

The previous prime is 13228778309. The next prime is 13228778347. The reversal of 13228778310 is 1387782231.

13228778310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13228778310² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8419825 + ... + 8421395.

It is an arithmetic number, because the mean of its divisors is an integer number (152798400).

Almost surely, 2^13228778310 is an apocalyptic number.

13228778310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13228778310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19558195200).

13228778310 is an abundant number, since it is smaller than the sum of its proper divisors (25887612090).

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

13228778310 is a wasteful number, since it uses less digits than its factorization.

13228778310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 13228778310 in words is "thirteen billion, two hundred twenty-eight million, seven hundred seventy-eight thousand, three hundred ten".