13005166020 has 384 divisors, whose sum is σ = 46903836672. Its totient is φ = 2614272000.

The previous prime is 13005166019. The next prime is 13005166049. The reversal of 13005166020 is 2066150031.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21930844 + ... + 21931436.

It is an arithmetic number, because the mean of its divisors is an integer number (122145408).

Almost surely, 2^13005166020 is an apocalyptic number.

13005166020 is a gapful number since it is divisible by the number (10) 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 13005166020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451918336).

13005166020 is an abundant number, since it is smaller than the sum of its proper divisors (33898670652).

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

13005166020 is a wasteful number, since it uses less digits than its factorization.

13005166020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

It can be divided in two parts, 1300516 and 6020, that added together give a triangular number (1306536 = T₁₆₁₆).

The spelling of 13005166020 in words is "thirteen billion, five million, one hundred sixty-six thousand, twenty".