13310000 has 100 divisors (see below), whose sum is σ = 35444904. Its totient is φ = 4840000.

The previous prime is 13309991. The next prime is 13310009. The reversal of 13310000 is 1331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (13309991) and next prime (13310009).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×13310000² = 354312200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 13310000.

It is not an unprimeable number, because it can be changed into a prime (13310009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1209995 + ... + 1210005.

Almost surely, 2^13310000 is an apocalyptic number.

13310000 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 13310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17722452).

13310000 is an abundant number, since it is smaller than the sum of its proper divisors (22134904).

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

13310000 is an frugal number, since it uses more digits than its factorization.

13310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 13310000 is about 3648.2872693909. The cubic root of 13310000 is about 236.9878159035.

Adding to 13310000 its reverse (1331), we get a palindrome (13311331).

Multiplying 13310000 by its reverse (1331), we get a square (17715610000 = 133100²).

13310000 divided by its reverse (1331) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 13 and 310000, that added together give a palindrome (310013).

The spelling of 13310000 in words is "thirteen million, three hundred ten thousand".