1100311311300 has 72 divisors (see below), whose sum is σ = 3188711013600. Its totient is φ = 292942283520.

The previous prime is 1100311311271. The next prime is 1100311311317. The reversal of 1100311311300 is 31131130011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100311311300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2776905 + ... + 3148304.

Almost surely, 2^{1100311311300} is an apocalyptic number.

1100311311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100311311300 is an abundant number, since it is smaller than the sum of its proper divisors (2088399702300).

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

1100311311300 is a wasteful number, since it uses less digits than its factorization.

1100311311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925845 (or 5925838 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1100311311300 its reverse (31131130011), we get a palindrome (1131442441311).

The spelling of 1100311311300 in words is "one trillion, one hundred billion, three hundred eleven million, three hundred eleven thousand, three hundred".