1101303333120 has 144 divisors (see below), whose sum is σ = 3517764062400. Its totient is φ = 293641101312.

The previous prime is 1101303333059. The next prime is 1101303333149. The reversal of 1101303333120 is 213333031011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38028406 + ... + 38057354.

It is an arithmetic number, because the mean of its divisors is an integer number (24428917100).

Almost surely, 2^{1101303333120} is an apocalyptic number.

1101303333120 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 1101303333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758882031200).

1101303333120 is an abundant number, since it is smaller than the sum of its proper divisors (2416460729280).

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

1101303333120 is an equidigital number, since it uses as much as digits as its factorization.

1101303333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38880 (or 38866 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1101303333120 its reverse (213333031011), we get a palindrome (1314636364131).

The spelling of 1101303333120 in words is "one trillion, one hundred one billion, three hundred three million, three hundred thirty-three thousand, one hundred twenty".