13000213021 has 4 divisors (see below), whose sum is σ = 13764931452. Its totient is φ = 12235494592.

The previous prime is 13000212989. The next prime is 13000213027. The reversal of 13000213021 is 12031200031.

13000213021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12031200031 = 4691 ⋅2564741.

It can be written as a sum of positive squares in 2 ways, for example, as 10901656921 + 2098556100 = 104411^2 + 45810^2 .

It is not a de Polignac number, because 13000213021 - 2⁵ = 13000212989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000212992 and 13000213010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000213027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 382359190 + ... + 382359223.

It is an arithmetic number, because the mean of its divisors is an integer number (3441232863).

Almost surely, 2^13000213021 is an apocalyptic number.

It is an amenable number.

13000213021 is a deficient number, since it is larger than the sum of its proper divisors (764718431).

13000213021 is an equidigital number, since it uses as much as digits as its factorization.

13000213021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764718430.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13000213021 its reverse (12031200031), we get a palindrome (25031413052).

The spelling of 13000213021 in words is "thirteen billion, two hundred thirteen thousand, twenty-one".