10111131141 has 16 divisors (see below), whose sum is σ = 13591626048. Its totient is φ = 6685920000.

The previous prime is 10111131091. The next prime is 10111131167. The reversal of 10111131141 is 14113111101.

10111131141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10111131141 - 2³³ = 1521196549 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111131141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153615 + ... + 209331.

It is an arithmetic number, because the mean of its divisors is an integer number (849476628).

Almost surely, 2^10111131141 is an apocalyptic number.

It is an amenable number.

10111131141 is a deficient number, since it is larger than the sum of its proper divisors (3480494907).

10111131141 is a wasteful number, since it uses less digits than its factorization.

10111131141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56212.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 10111131141 its reverse (14113111101), we get a palindrome (24224242242).

The spelling of 10111131141 in words is "ten billion, one hundred eleven million, one hundred thirty-one thousand, one hundred forty-one".