13032178016 has 96 divisors (see below), whose sum is σ = 30202629408. Its totient is φ = 5457162240.

The previous prime is 13032177941. The next prime is 13032178031. The reversal of 13032178016 is 61087123031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2546276 + ... + 2551388.

It is an arithmetic number, because the mean of its divisors is an integer number (314610723).

Almost surely, 2^13032178016 is an apocalyptic number.

13032178016 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 13032178016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101314704).

13032178016 is an abundant number, since it is smaller than the sum of its proper divisors (17170451392).

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

13032178016 is a wasteful number, since it uses less digits than its factorization.

13032178016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 13032178016 in words is "thirteen billion, thirty-two million, one hundred seventy-eight thousand, sixteen".