13041000 has 320 divisors, whose sum is σ = 54362880. Its totient is φ = 2851200.

The previous prime is 13040959. The next prime is 13041001. The reversal of 13041000 is 14031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 566989 + ... + 567011.

It is an arithmetic number, because the mean of its divisors is an integer number (169884).

Almost surely, 2^13041000 is an apocalyptic number.

13041000 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 13041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27181440).

13041000 is an abundant number, since it is smaller than the sum of its proper divisors (41321880).

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

13041000 is a wasteful number, since it uses less digits than its factorization.

13041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13041000 is about 3611.2324765930. The cubic root of 13041000 is about 235.3804009537.

Adding to 13041000 its reverse (14031), we get a palindrome (13055031).

It can be divided in two parts, 1304 and 1000, that added together give a square (2304 = 48²).

The spelling of 13041000 in words is "thirteen million, forty-one thousand".