13078433016 has 384 divisors, whose sum is σ = 41974732800. Its totient is φ = 3779136000.

The previous prime is 13078433009. The next prime is 13078433023. The reversal of 13078433016 is 61033487031.

13078433016 is a `hidden beast` number, since 1 + 307 + 8 + 4 + 330 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (13078433009) and next prime (13078433023).

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

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, 72256446 + ... + 72256626.

It is an arithmetic number, because the mean of its divisors is an integer number (109309200).

Almost surely, 2^13078433016 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 13078433016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20987366400).

13078433016 is an abundant number, since it is smaller than the sum of its proper divisors (28896299784).

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

13078433016 is a wasteful number, since it uses less digits than its factorization.

13078433016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13078433016 in words is "thirteen billion, seventy-eight million, four hundred thirty-three thousand, sixteen".