1330114324020 has 96 divisors (see below), whose sum is σ = 3945710361600. Its totient is φ = 333636839424.

The previous prime is 1330114323961. The next prime is 1330114324027. The reversal of 1330114324020 is 204234110331.

It is a happy number.

It is a super-2 number, since 2×1330114324020² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330114324027) 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 31 ways as a sum of consecutive naturals, for example, 1361661 + ... + 2124699.

It is an arithmetic number, because the mean of its divisors is an integer number (41101149600).

Almost surely, 2^{1330114324020} is an apocalyptic number.

1330114324020 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 1330114324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972855180800).

1330114324020 is an abundant number, since it is smaller than the sum of its proper divisors (2615596037580).

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

1330114324020 is a wasteful number, since it uses less digits than its factorization.

1330114324020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764777 (or 764775 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1330114324020 its reverse (204234110331), we get a palindrome (1534348434351).

The spelling of 1330114324020 in words is "one trillion, three hundred thirty billion, one hundred fourteen million, three hundred twenty-four thousand, twenty".