10011131101016 has 16 divisors (see below), whose sum is σ = 19376382776640. Its totient is φ = 4844095693920.

The previous prime is 10011131100979. The next prime is 10011131101061. The reversal of 10011131101016 is 61010113111001.

It is a junction number, because it is equal to n+sod(n) for n = 10011131100985 and 10011131101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20183731811 + ... + 20183732306.

It is an arithmetic number, because the mean of its divisors is an integer number (1211023923540).

Almost surely, 2^{10011131101016} is an apocalyptic number.

It is an amenable number.

10011131101016 is a deficient number, since it is larger than the sum of its proper divisors (9365251675624).

10011131101016 is a wasteful number, since it uses less digits than its factorization.

10011131101016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40367464154 (or 40367464150 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 10011131101016 its reverse (61010113111001), we get a palindrome (71021244212017).

The spelling of 10011131101016 in words is "ten trillion, eleven billion, one hundred thirty-one million, one hundred one thousand, sixteen".