1101103331300 has 288 divisors, whose sum is σ = 2853577359360. Its totient is φ = 360867571200.

The previous prime is 1101103331267. The next prime is 1101103331303. The reversal of 1101103331300 is 31333011011.

It is a super-3 number, since 3×1101103331300³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101103331303) 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 95 ways as a sum of consecutive naturals, for example, 672634082 + ... + 672635718.

It is an arithmetic number, because the mean of its divisors is an integer number (9908254720).

Almost surely, 2^{1101103331300} is an apocalyptic number.

1101103331300 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 1101103331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426788679680).

1101103331300 is an abundant number, since it is smaller than the sum of its proper divisors (1752474028060).

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

1101103331300 is a wasteful number, since it uses less digits than its factorization.

1101103331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1101103331300 its reverse (31333011011), we get a palindrome (1132436342311).

The spelling of 1101103331300 in words is "one trillion, one hundred one billion, one hundred three million, three hundred thirty-one thousand, three hundred".