10513103221 has 8 divisors (see below), whose sum is σ = 10538033688. Its totient is φ = 10488192000.

The previous prime is 10513103137. The next prime is 10513103243. The reversal of 10513103221 is 12230131501.

10513103221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 954130321 + 9558972900 = 30889^2 + 97770^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10513103221 - 2¹¹ = 10513101173 is a prime.

It is a super-2 number, since 2×10513103221² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513133221) 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 7 ways as a sum of consecutive naturals, for example, 1988101 + ... + 1993381.

It is an arithmetic number, because the mean of its divisors is an integer number (1317254211).

Almost surely, 2^10513103221 is an apocalyptic number.

It is an amenable number.

10513103221 is a deficient number, since it is larger than the sum of its proper divisors (24930467).

10513103221 is an equidigital number, since it uses as much as digits as its factorization.

10513103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10513103221 its reverse (12230131501), we get a palindrome (22743234722).

The spelling of 10513103221 in words is "ten billion, five hundred thirteen million, one hundred three thousand, two hundred twenty-one".