13153284816 has 120 divisors (see below), whose sum is σ = 39608223840. Its totient is φ = 3750356736.

The previous prime is 13153284811. The next prime is 13153284821. The reversal of 13153284816 is 61848235131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13153284811) and next prime (13153284821).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13153284811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191675 + ... + 1202661.

It is an arithmetic number, because the mean of its divisors is an integer number (330068532).

Almost surely, 2^13153284816 is an apocalyptic number.

13153284816 is a gapful number since it is divisible by the number (16) 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 13153284816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804111920).

13153284816 is an abundant number, since it is smaller than the sum of its proper divisors (26454939024).

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

13153284816 is a wasteful number, since it uses less digits than its factorization.

13153284816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11521 (or 11508 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The spelling of 13153284816 in words is "thirteen billion, one hundred fifty-three million, two hundred eighty-four thousand, eight hundred sixteen".