10211313300111 has 64 divisors (see below), whose sum is σ = 18894586383360. Its totient is φ = 5295054257280.

The previous prime is 10211313300047. The next prime is 10211313300127. The reversal of 10211313300111 is 11100331311201.

10211313300111 is a `hidden beast` number, since 1 + 0 + 211 + 313 + 30 + 0 + 111 = 666.

It is not a de Polignac number, because 10211313300111 - 2⁶ = 10211313300047 is a prime.

It is a super-2 number, since 2×10211313300111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211313300191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3251016 + ... + 5567021.

It is an arithmetic number, because the mean of its divisors is an integer number (295227912240).

Almost surely, 2^{10211313300111} is an apocalyptic number.

10211313300111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10211313300111 is a deficient number, since it is larger than the sum of its proper divisors (8683273083249).

10211313300111 is a wasteful number, since it uses less digits than its factorization.

10211313300111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818621 (or 8818615 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10211313300111 its reverse (11100331311201), we get a palindrome (21311644611312).

The spelling of 10211313300111 in words is "ten trillion, two hundred eleven billion, three hundred thirteen million, three hundred thousand, one hundred eleven".