1101133020320 has 48 divisors (see below), whose sum is σ = 2603242673640. Its totient is φ = 440145752064.

The previous prime is 1101133020283. The next prime is 1101133020331. The reversal of 1101133020320 is 230203311011.

It can be written as a sum of positive squares in 4 ways, for example, as 1098916117264 + 2216903056 = 1048292^2 + 47084^2 .

It is a super-3 number, since 3×1101133020320³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2172005 + ... + 2630564.

Almost surely, 2^{1101133020320} is an apocalyptic number.

1101133020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101133020320 is an abundant number, since it is smaller than the sum of its proper divisors (1502109653320).

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

1101133020320 is a wasteful number, since it uses less digits than its factorization.

1101133020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804017 (or 4804009 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1101133020320 its reverse (230203311011), we get a palindrome (1331336331331).

The spelling of 1101133020320 in words is "one trillion, one hundred one billion, one hundred thirty-three million, twenty thousand, three hundred twenty".