13010821 has 12 divisors (see below), whose sum is σ = 13805100. Its totient is φ = 12246080.

The previous prime is 13010813. The next prime is 13010827. The reversal of 13010821 is 12801031.

It can be written as a sum of positive squares in 2 ways, for example, as 4536900 + 8473921 = 2130^2 + 2911^2 .

It is not a de Polignac number, because 13010821 - 2³ = 13010813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13010795 and 13010804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010827) 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 11 ways as a sum of consecutive naturals, for example, 146145 + ... + 146233.

It is an arithmetic number, because the mean of its divisors is an integer number (1150425).

Almost surely, 2^13010821 is an apocalyptic number.

It is an amenable number.

13010821 is a deficient number, since it is larger than the sum of its proper divisors (794279).

13010821 is an frugal number, since it uses more digits than its factorization.

13010821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 13010821 is about 3607.0515660301. The cubic root of 13010821 is about 235.1986911727.

Adding to 13010821 its reverse (12801031), we get a palindrome (25811852).

It can be divided in two parts, 13010 and 821, that added together give a palindrome (13831).

The spelling of 13010821 in words is "thirteen million, ten thousand, eight hundred twenty-one".