10013101111321 has 16 divisors (see below), whose sum is σ = 12485732732928. Its totient is φ = 7801249942800.

The previous prime is 10013101111309. The next prime is 10013101111327. The reversal of 10013101111321 is 12311110131001.

10013101111321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10013101111321 - 2⁵ = 10013101111289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013101111295 and 10013101111304.

It is not an unprimeable number, because it can be changed into a prime (10013101111327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9202345 + ... + 10232758.

It is an arithmetic number, because the mean of its divisors is an integer number (780358295808).

Almost surely, 2^{10013101111321} is an apocalyptic number.

10013101111321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10013101111321 is a deficient number, since it is larger than the sum of its proper divisors (2472631621607).

10013101111321 is a wasteful number, since it uses less digits than its factorization.

10013101111321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19441812.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10013101111321 its reverse (12311110131001), we get a palindrome (22324211242322).

The spelling of 10013101111321 in words is "ten trillion, thirteen billion, one hundred one million, one hundred eleven thousand, three hundred twenty-one".