10013112132111 has 16 divisors (see below), whose sum is σ = 16182807486720. Its totient is φ = 6068552807160.

The previous prime is 10013112132083. The next prime is 10013112132137. The reversal of 10013112132111 is 11123121131001.

10013112132111 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 311 + 21 + 321 + 11 = 666.

It is not a de Polignac number, because 10013112132111 - 2²⁷ = 10012977914383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013112132511) 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, 16857090835 + ... + 16857091428.

It is an arithmetic number, because the mean of its divisors is an integer number (1011425467920).

Almost surely, 2^{10013112132111} is an apocalyptic number.

10013112132111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10013112132111 is a deficient number, since it is larger than the sum of its proper divisors (6169695354609).

10013112132111 is a wasteful number, since it uses less digits than its factorization.

10013112132111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33714182283 (or 33714182277 counting only the distinct ones).

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

Adding to 10013112132111 its reverse (11123121131001), we get a palindrome (21136233263112).

The spelling of 10013112132111 in words is "ten trillion, thirteen billion, one hundred twelve million, one hundred thirty-two thousand, one hundred eleven".