13020000 has 240 divisors, whose sum is σ = 50383872. Its totient is φ = 2880000.

The previous prime is 13019999. The next prime is 13020017. The reversal of 13020000 is 2031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

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 an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 419985 + ... + 420015.

Almost surely, 2^13020000 is an apocalyptic number.

13020000 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 13020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25191936).

13020000 is an abundant number, since it is smaller than the sum of its proper divisors (37363872).

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

13020000 is an equidigital number, since it uses as much as digits as its factorization.

13020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 13020000 is about 3608.3237105337. The cubic root of 13020000 is about 235.2539882544.

Adding to 13020000 its reverse (2031), we get a palindrome (13022031).

The spelling of 13020000 in words is "thirteen million, twenty thousand".