10131101111 has 16 divisors (see below), whose sum is σ = 10757615616. Its totient is φ = 9521113536.

The previous prime is 10131101089. The next prime is 10131101137. The reversal of 10131101111 is 11110113101.

It is a cyclic number.

It is not a de Polignac number, because 10131101111 - 2¹⁴ = 10131084727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131101092 and 10131101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131101171) 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, 430106 + ... + 453048.

It is an arithmetic number, because the mean of its divisors is an integer number (672350976).

Almost surely, 2^10131101111 is an apocalyptic number.

10131101111 is a deficient number, since it is larger than the sum of its proper divisors (626514505).

10131101111 is a wasteful number, since it uses less digits than its factorization.

10131101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23302.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10131101111 its reverse (11110113101), we get a palindrome (21241214212).

The spelling of 10131101111 in words is "ten billion, one hundred thirty-one million, one hundred one thousand, one hundred eleven".