13171249000 has 768 divisors, whose sum is σ = 43023052800. Its totient is φ = 3725568000.

The previous prime is 13171248949. The next prime is 13171249051. The reversal of 13171249000 is 94217131.

It is an interprime number because it is at equal distance from previous prime (13171248949) and next prime (13171249051).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13171249000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 424878985 + ... + 424879015.

It is an arithmetic number, because the mean of its divisors is an integer number (56019600).

Almost surely, 2^13171249000 is an apocalyptic number.

13171249000 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 13171249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511526400).

13171249000 is an abundant number, since it is smaller than the sum of its proper divisors (29851803800).

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

13171249000 is a wasteful number, since it uses less digits than its factorization.

13171249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 13171249000 in words is "thirteen billion, one hundred seventy-one million, two hundred forty-nine thousand".