13021000 has 64 divisors (see below), whose sum is σ = 31590000. Its totient is φ = 5017600.

The previous prime is 13020991. The next prime is 13021009. The reversal of 13021000 is 12031.

13021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13020991) and next prime (13021009).

It can be written as a sum of positive squares in 8 ways, for example, as 784996 + 12236004 = 886^2 + 3498^2 .

It is not an unprimeable number, because it can be changed into a prime (13021009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28776 + ... + 29224.

Almost surely, 2^13021000 is an apocalyptic number.

13021000 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 13021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15795000).

13021000 is an abundant number, since it is smaller than the sum of its proper divisors (18569000).

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

13021000 is a wasteful number, since it uses less digits than its factorization.

13021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 13021000 is about 3608.4622763720. The cubic root of 13021000 is about 235.2600109877.

Adding to 13021000 its reverse (12031), we get a palindrome (13033031).

The spelling of 13021000 in words is "thirteen million, twenty-one thousand".