1330303431300 has 144 divisors (see below), whose sum is σ = 3939358906560. Its totient is φ = 346424117760.

The previous prime is 1330303431299. The next prime is 1330303431313. The reversal of 1330303431300 is 31343030331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88602594 + ... + 88617606.

Almost surely, 2^{1330303431300} is an apocalyptic number.

1330303431300 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 1330303431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969679453280).

1330303431300 is an abundant number, since it is smaller than the sum of its proper divisors (2609055475260).

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

1330303431300 is a wasteful number, since it uses less digits than its factorization.

1330303431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21942 (or 21935 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1330303431300 its reverse (31343030331), we get a palindrome (1361646461631).

The spelling of 1330303431300 in words is "one trillion, three hundred thirty billion, three hundred three million, four hundred thirty-one thousand, three hundred".