10131111 has 6 divisors (see below), whose sum is σ = 14633840. Its totient is φ = 6754068.

The previous prime is 10131097. The next prime is 10131127. The reversal of 10131111 is 11113101.

It is not a de Polignac number, because 10131111 - 2⁷ = 10130983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1125679 = 10131111 / (1 + 0 + 1 + 3 + 1 + 1 + 1 + 1).

It is a Duffinian number.

10131111 is a modest number, since divided by 1111 gives 1013 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10131093 and 10131102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562831 + ... + 562848.

Almost surely, 2^10131111 is an apocalyptic number.

10131111 is a deficient number, since it is larger than the sum of its proper divisors (4502729).

10131111 is a wasteful number, since it uses less digits than its factorization.

10131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125685 (or 1125682 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 10131111 is about 3182.9406215008. The cubic root of 10131111 is about 216.3809506797.

Adding to 10131111 its reverse (11113101), we get a palindrome (21244212).

The spelling of 10131111 in words is "ten million, one hundred thirty-one thousand, one hundred eleven".