1101101310 has 128 divisors (see below), whose sum is σ = 3079710720. Its totient is φ = 279417600.

The previous prime is 1101101291. The next prime is 1101101317. The reversal of 1101101310 is 131011011.

1101101310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1101101310² = 2424848189767432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101101292 and 1101101301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1744695 + ... + 1745325.

It is an arithmetic number, because the mean of its divisors is an integer number (24060240).

Almost surely, 2^1101101310 is an apocalyptic number.

1101101310 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 1101101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539855360).

1101101310 is an abundant number, since it is smaller than the sum of its proper divisors (1978609410).

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

1101101310 is a wasteful number, since it uses less digits than its factorization.

1101101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1101101310 is about 33182.8466229165. The cubic root of 1101101310 is about 1032.6245037049.

Adding to 1101101310 its reverse (131011011), we get a palindrome (1232112321).

The spelling of 1101101310 in words is "one billion, one hundred one million, one hundred one thousand, three hundred ten".