1100100311310 has 768 divisors, whose sum is σ = 3745984112640. Its totient is φ = 200967782400.

The previous prime is 1100100311293. The next prime is 1100100311311. The reversal of 1100100311310 is 131130010011.

It is a super-2 number, since 2×1100100311310² (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 (1100100311311) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 582370846 + ... + 582372734.

It is an arithmetic number, because the mean of its divisors is an integer number (4877583480).

Almost surely, 2^{1100100311310} is an apocalyptic number.

1100100311310 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 1100100311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872992056320).

1100100311310 is an abundant number, since it is smaller than the sum of its proper divisors (2645883801330).

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

1100100311310 is a wasteful number, since it uses less digits than its factorization.

1100100311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1100100311310 its reverse (131130010011), we get a palindrome (1231230321321).

The spelling of 1100100311310 in words is "one trillion, one hundred billion, one hundred million, three hundred eleven thousand, three hundred ten".