1111011013120 has 40 divisors (see below), whose sum is σ = 2663822505564. Its totient is φ = 444404404224.

The previous prime is 1111011013097. The next prime is 1111011013129. The reversal of 1111011013120 is 213101101111.

It can be written as a sum of positive squares in 2 ways, for example, as 941148336384 + 169862676736 = 970128^2 + 412144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1111011013120.

It is not an unprimeable number, because it can be changed into a prime (1111011013129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216991779 + ... + 216996898.

Almost surely, 2^{1111011013120} is an apocalyptic number.

1111011013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111011013120 is an abundant number, since it is smaller than the sum of its proper divisors (1552811492444).

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

1111011013120 is an frugal number, since it uses more digits than its factorization.

1111011013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433988700 (or 433988684 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1111011013120 its reverse (213101101111), we get a palindrome (1324112114231).

The spelling of 1111011013120 in words is "one trillion, one hundred eleven billion, eleven million, thirteen thousand, one hundred twenty".