1101301331100 has 144 divisors (see below), whose sum is σ = 3237019234176. Its totient is φ = 289026144000.

The previous prime is 1101301331027. The next prime is 1101301331161. The reversal of 1101301331100 is 11331031011.

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 1101301331100.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21903990 + ... + 21954210.

Almost surely, 2^{1101301331100} is an apocalyptic number.

1101301331100 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 1101301331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618509617088).

1101301331100 is an abundant number, since it is smaller than the sum of its proper divisors (2135717903076).

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

1101301331100 is a wasteful number, since it uses less digits than its factorization.

1101301331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51396 (or 51389 counting only the distinct ones).

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

Adding to 1101301331100 its reverse (11331031011), we get a palindrome (1112632362111).

The spelling of 1101301331100 in words is "one trillion, one hundred one billion, three hundred one million, three hundred thirty-one thousand, one hundred".