10013311321 has 32 divisors (see below), whose sum is σ = 11583589248. Its totient is φ = 8574059520.

The previous prime is 10013311307. The next prime is 10013311327. The reversal of 10013311321 is 12311331001.

It is not a de Polignac number, because 10013311321 - 2⁷ = 10013311193 is a prime.

It is a super-2 number, since 2×10013311321² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013311295 and 10013311304.

It is not an unprimeable number, because it can be changed into a prime (10013311327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4544206 + ... + 4546408.

It is an arithmetic number, because the mean of its divisors is an integer number (361987164).

Almost surely, 2^10013311321 is an apocalyptic number.

It is an amenable number.

10013311321 is a deficient number, since it is larger than the sum of its proper divisors (1570277927).

10013311321 is a wasteful number, since it uses less digits than its factorization.

10013311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10013311321 its reverse (12311331001), we get a palindrome (22324642322).

The spelling of 10013311321 in words is "ten billion, thirteen million, three hundred eleven thousand, three hundred twenty-one".