13001400 has 144 divisors (see below), whose sum is σ = 45264960. Its totient is φ = 3340800.

The previous prime is 13001389. The next prime is 13001407. The reversal of 13001400 is 410031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55684 + ... + 55916.

It is an arithmetic number, because the mean of its divisors is an integer number (314340).

Almost surely, 2^13001400 is an apocalyptic number.

13001400 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 13001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632480).

13001400 is an abundant number, since it is smaller than the sum of its proper divisors (32263560).

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

13001400 is a wasteful number, since it uses less digits than its factorization.

13001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

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

The square root of 13001400 is about 3605.7454153060. The cubic root of 13001400 is about 235.1419091577.

Adding to 13001400 its reverse (410031), we get a palindrome (13411431).

The spelling of 13001400 in words is "thirteen million, one thousand, four hundred".