10013301211321 has 16 divisors (see below), whose sum is σ = 10860613159680. Its totient is φ = 9195900215040.

The previous prime is 10013301211301. The next prime is 10013301211339. The reversal of 10013301211321 is 12311210331001.

It is a cyclic number.

It is not a de Polignac number, because 10013301211321 - 2⁵ = 10013301211289 is a prime.

It is a super-2 number, since 2×10013301211321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013301211301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18666486 + ... + 19195423.

It is an arithmetic number, because the mean of its divisors is an integer number (678788322480).

Almost surely, 2^{10013301211321} is an apocalyptic number.

It is an amenable number.

10013301211321 is a deficient number, since it is larger than the sum of its proper divisors (847311948359).

10013301211321 is a wasteful number, since it uses less digits than its factorization.

10013301211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37862304.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10013301211321 its reverse (12311210331001), we get a palindrome (22324511542322).

The spelling of 10013301211321 in words is "ten trillion, thirteen billion, three hundred one million, two hundred eleven thousand, three hundred twenty-one".