1101120011310 has 256 divisors, whose sum is σ = 2966369817600. Its totient is φ = 259324416000.

The previous prime is 1101120011291. The next prime is 1101120011317. The reversal of 1101120011310 is 131100211011.

It is a super-2 number, since 2×1101120011310² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101120011317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1357730805 + ... + 1357731615.

It is an arithmetic number, because the mean of its divisors is an integer number (11587382100).

Almost surely, 2^{1101120011310} is an apocalyptic number.

1101120011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101120011310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483184908800).

1101120011310 is an abundant number, since it is smaller than the sum of its proper divisors (1865249806290).

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

1101120011310 is a wasteful number, since it uses less digits than its factorization.

1101120011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1101120011310 its reverse (131100211011), we get a palindrome (1232220222321).

The spelling of 1101120011310 in words is "one trillion, one hundred one billion, one hundred twenty million, eleven thousand, three hundred ten".