13381402216 has 128 divisors (see below), whose sum is σ = 31961180160. Its totient is φ = 5114672640.

The previous prime is 13381402159. The next prime is 13381402217. The reversal of 13381402216 is 61220418331.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (13381402217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21687540 + ... + 21688156.

It is an arithmetic number, because the mean of its divisors is an integer number (249696720).

Almost surely, 2^13381402216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13381402216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980590080).

13381402216 is an abundant number, since it is smaller than the sum of its proper divisors (18579777944).

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

13381402216 is an equidigital number, since it uses as much as digits as its factorization.

13381402216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 13381402216 in words is "thirteen billion, three hundred eighty-one million, four hundred two thousand, two hundred sixteen".