1330103311020 has 576 divisors, whose sum is σ = 4851430391808. Its totient is φ = 291525696000.

The previous prime is 1330103310931. The next prime is 1330103311027. The reversal of 1330103311020 is 201133010331.

It is a happy number.

1330103311020 is a `hidden beast` number, since 1 + 3 + 301 + 0 + 331 + 10 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1330103310984 and 1330103311002.

It is not an unprimeable number, because it can be changed into a prime (1330103311027) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60693865 + ... + 60715775.

It is an arithmetic number, because the mean of its divisors is an integer number (8422622208).

Almost surely, 2^{1330103311020} is an apocalyptic number.

1330103311020 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 1330103311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425715195904).

1330103311020 is an abundant number, since it is smaller than the sum of its proper divisors (3521327080788).

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

1330103311020 is a wasteful number, since it uses less digits than its factorization.

1330103311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22034 (or 22029 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1330103311020 its reverse (201133010331), we get a palindrome (1531236321351).

It can be divided in two parts, 13301033 and 11020, that added together give a cube (13312053 = 237³).

The spelling of 1330103311020 in words is "one trillion, three hundred thirty billion, one hundred three million, three hundred eleven thousand, twenty".