10111131345504 has 72 divisors (see below), whose sum is σ = 30875061801528. Its totient is φ = 2888894668800.

The previous prime is 10111131345493. The next prime is 10111131345551. The reversal of 10111131345504 is 40554313111101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1074732897 + ... + 1074742304.

It is an arithmetic number, because the mean of its divisors is an integer number (428820302799).

Almost surely, 2^{10111131345504} is an apocalyptic number.

10111131345504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10111131345504 is an abundant number, since it is smaller than the sum of its proper divisors (20763930456024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111131345504 is a wasteful number, since it uses less digits than its factorization.

10111131345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149475228 (or 2149475213 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 10111131345504 its reverse (40554313111101), we get a palindrome (50665444456605).

The spelling of 10111131345504 in words is "ten trillion, one hundred eleven billion, one hundred thirty-one million, three hundred forty-five thousand, five hundred four".