13010004048078 has 48 divisors (see below), whose sum is σ = 30629098406400. Its totient is φ = 3975892575120.

The previous prime is 13010004048029. The next prime is 13010004048079. The reversal of 13010004048078 is 87084040001031.

13010004048078 is a `hidden beast` number, since 1 + 3 + 0 + 100 + 0 + 4 + 0 + 480 + 78 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010004048079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613553068 + ... + 613574271.

It is an arithmetic number, because the mean of its divisors is an integer number (638106216800).

Almost surely, 2^{13010004048078} is an apocalyptic number.

13010004048078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13010004048078 is an abundant number, since it is smaller than the sum of its proper divisors (17619094358322).

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

13010004048078 is a wasteful number, since it uses less digits than its factorization.

13010004048078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227127397 (or 1227127394 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 13010004048078 in words is "thirteen trillion, ten billion, four million, forty-eight thousand, seventy-eight".