13161000 has 128 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3392000.

The previous prime is 13160993. The next prime is 13161017. The reversal of 13161000 is 16131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122947 + ... + 123053.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 2^13161000 is an apocalyptic number.

13161000 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 13161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

13161000 is an abundant number, since it is smaller than the sum of its proper divisors (29295960).

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

13161000 is a wasteful number, since it uses less digits than its factorization.

13161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 13161000 is about 3627.8092562868. The cubic root of 13161000 is about 236.1001681459.

Adding to 13161000 its reverse (16131), we get a palindrome (13177131).

The spelling of 13161000 in words is "thirteen million, one hundred sixty-one thousand".