11141124731 has 24 divisors (see below), whose sum is σ = 12436114992. Its totient is φ = 9971596800.

The previous prime is 11141124719. The next prime is 11141124737. The reversal of 11141124731 is 13742114111.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-11141124731 is a prime.

It is a super-3 number, since 3×11141124731³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11141124731.

It is not an unprimeable number, because it can be changed into a prime (11141124737) 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 23 ways as a sum of consecutive naturals, for example, 8629196 + ... + 8630486.

It is an arithmetic number, because the mean of its divisors is an integer number (518171458).

Almost surely, 2^11141124731 is an apocalyptic number.

11141124731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11141124731 is a deficient number, since it is larger than the sum of its proper divisors (1294990261).

11141124731 is a wasteful number, since it uses less digits than its factorization.

11141124731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2352 counting only the distinct ones).

The product of its digits is 672, while the sum is 26.

Adding to 11141124731 its reverse (13742114111), we get a palindrome (24883238842).

The spelling of 11141124731 in words is "eleven billion, one hundred forty-one million, one hundred twenty-four thousand, seven hundred thirty-one".