10111312101321 has 6 divisors (see below), whose sum is σ = 14605228590810. Its totient is φ = 6740874734208.

The previous prime is 10111312101211. The next prime is 10111312101343. The reversal of 10111312101321 is 12310121311101.

10111312101321 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 131 + 210 + 1 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7755885233721 + 2355426867600 = 2784939^2 + 1534740^2 .

It is not a de Polignac number, because 10111312101321 - 2⁹ = 10111312100809 is a prime.

It is a super-3 number, since 3×10111312101321³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111312101294 and 10111312101303.

It is not an unprimeable number, because it can be changed into a prime (10111312101361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561739561176 + ... + 561739561193.

It is an arithmetic number, because the mean of its divisors is an integer number (2434204765135).

Almost surely, 2^{10111312101321} is an apocalyptic number.

It is an amenable number.

10111312101321 is a deficient number, since it is larger than the sum of its proper divisors (4493916489489).

10111312101321 is a wasteful number, since it uses less digits than its factorization.

10111312101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123479122375 (or 1123479122372 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10111312101321 its reverse (12310121311101), we get a palindrome (22421433412422).

The spelling of 10111312101321 in words is "ten trillion, one hundred eleven billion, three hundred twelve million, one hundred one thousand, three hundred twenty-one".