1105130000000 has 256 divisors, whose sum is σ = 2964068583840. Its totient is φ = 408000000000.

The previous prime is 1105129999997. The next prime is 1105130000021. The reversal of 1105130000000 is 315011.

It can be written as a sum of positive squares in 16 ways, for example, as 807424450624 + 297705549376 = 898568^2 + 545624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129995750 + ... + 130004250.

Almost surely, 2^{1105130000000} is an apocalyptic number.

1105130000000 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 1105130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482034291920).

1105130000000 is an abundant number, since it is smaller than the sum of its proper divisors (1858938583840).

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

1105130000000 is an frugal number, since it uses more digits than its factorization.

1105130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8563 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 1105130000000 its reverse (315011), we get a palindrome (1105130315011).

The spelling of 1105130000000 in words is "one trillion, one hundred five billion, one hundred thirty million", and thus it is an aban number.