1101131116016 has 80 divisors (see below), whose sum is σ = 2273629478400. Its totient is φ = 515112758784.

The previous prime is 1101131115991. The next prime is 1101131116067. The reversal of 1101131116016 is 6106111311011.

It is a junction number, because it is equal to n+sod(n) for n = 1101131115982 and 1101131116000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85959020 + ... + 85971828.

It is an arithmetic number, because the mean of its divisors is an integer number (28420368480).

Almost surely, 2^{1101131116016} is an apocalyptic number.

1101131116016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101131116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136814739200).

1101131116016 is an abundant number, since it is smaller than the sum of its proper divisors (1172498362384).

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

1101131116016 is a wasteful number, since it uses less digits than its factorization.

1101131116016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16326 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 23.

Adding to 1101131116016 its reverse (6106111311011), we get a palindrome (7207242427027).

The spelling of 1101131116016 in words is "one trillion, one hundred one billion, one hundred thirty-one million, one hundred sixteen thousand, sixteen".