13171290000 has 400 divisors, whose sum is σ = 46857000960. Its totient is φ = 3160640000.

The previous prime is 13171289993. The next prime is 13171290043. The reversal of 13171290000 is 9217131.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55109881 + ... + 55110119.

Almost surely, 2^13171290000 is an apocalyptic number.

13171290000 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 13171290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23428500480).

13171290000 is an abundant number, since it is smaller than the sum of its proper divisors (33685710960).

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

13171290000 is a wasteful number, since it uses less digits than its factorization.

13171290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The spelling of 13171290000 in words is "thirteen billion, one hundred seventy-one million, two hundred ninety thousand".