13010000 has 50 divisors (see below), whose sum is σ = 31522722. Its totient is φ = 5200000.

The previous prime is 13009967. The next prime is 13010047. The reversal of 13010000 is 1031.

It can be written as a sum of positive squares in 5 ways, for example, as 9784384 + 3225616 = 3128^2 + 1796^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9350 + ... + 10650.

Almost surely, 2^13010000 is an apocalyptic number.

13010000 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 13010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15761361).

13010000 is an abundant number, since it is smaller than the sum of its proper divisors (18512722).

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

13010000 is an equidigital number, since it uses as much as digits as its factorization.

13010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 13010000 is about 3606.9377593743. The cubic root of 13010000 is about 235.1937439526.

Adding to 13010000 its reverse (1031), we get a palindrome (13011031).

The spelling of 13010000 in words is "thirteen million, ten thousand".