1101315044000 has 192 divisors, whose sum is σ = 2739436277760. Its totient is φ = 435102796800.

The previous prime is 1101315043991. The next prime is 1101315044021. The reversal of 1101315044000 is 4405131011.

It is a happy number.

It is a super-2 number, since 2×1101315044000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116327267 + ... + 116336733.

It is an arithmetic number, because the mean of its divisors is an integer number (14267897280).

Almost surely, 2^{1101315044000} is an apocalyptic number.

1101315044000 is a gapful number since it is divisible by the number (10) 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 1101315044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369718138880).

1101315044000 is an abundant number, since it is smaller than the sum of its proper divisors (1638121233760).

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

1101315044000 is a wasteful number, since it uses less digits than its factorization.

1101315044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 1101315044000 in words is "one trillion, one hundred one billion, three hundred fifteen million, forty-four thousand".