13310148096 has 960 divisors, whose sum is σ = 51476705280. Its totient is φ = 3344302080.

The previous prime is 13310148043. The next prime is 13310148101. The reversal of 13310148096 is 69084101331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13310148096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429359601 + ... + 429359631.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 2^13310148096 is an apocalyptic number.

13310148096 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 13310148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).

13310148096 is an abundant number, since it is smaller than the sum of its proper divisors (38166557184).

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

13310148096 is an equidigital number, since it uses as much as digits as its factorization.

13310148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13310148096 in words is "thirteen billion, three hundred ten million, one hundred forty-eight thousand, ninety-six".