13084720128 has 176 divisors, whose sum is σ = 39121608960. Its totient is φ = 4319834112.

The previous prime is 13084720127. The next prime is 13084720133. The reversal of 13084720128 is 82102748031.

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 = 13084720092 and 13084720101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084720127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956125 + ... + 2960547.

Almost surely, 2^13084720128 is an apocalyptic number.

13084720128 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 13084720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560804480).

13084720128 is an abundant number, since it is smaller than the sum of its proper divisors (26036888832).

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

13084720128 is a wasteful number, since it uses less digits than its factorization.

13084720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4535 counting only the distinct ones).

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

It can be divided in two parts, 130847 and 20128, that added together give a triangular number (150975 = T₅₄₉).

The spelling of 13084720128 in words is "thirteen billion, eighty-four million, seven hundred twenty thousand, one hundred twenty-eight".