13000805401428 has 216 divisors, whose sum is σ = 38176069932000. Its totient is φ = 3862306820736.

The previous prime is 13000805401417. The next prime is 13000805401439. The reversal of 13000805401428 is 82410450800031.

13000805401428 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 80 + 540 + 14 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (13000805401417) and next prime (13000805401439).

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

It is a junction number, because it is equal to n+sod(n) for n = 13000805401392 and 13000805401401.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3399223 + ... + 6128321.

It is an arithmetic number, because the mean of its divisors is an integer number (176741064500).

Almost surely, 2^{13000805401428} is an apocalyptic number.

13000805401428 is a gapful number since it is divisible by the number (18) 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 13000805401428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19088034966000).

13000805401428 is an abundant number, since it is smaller than the sum of its proper divisors (25175264530572).

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

13000805401428 is a wasteful number, since it uses less digits than its factorization.

13000805401428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729173 (or 2729146 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 13000805401428 in words is "thirteen trillion, eight hundred five million, four hundred one thousand, four hundred twenty-eight".