1320133131324 has 216 divisors, whose sum is σ = 3948690891600. Its totient is φ = 370708918272.

The previous prime is 1320133131221. The next prime is 1320133131329. The reversal of 1320133131324 is 4231313310231.

1320133131324 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 331 + 3 + 1 + 324 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320133131329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53053974 + ... + 53078850.

It is an arithmetic number, because the mean of its divisors is an integer number (18280976350).

Almost surely, 2^{1320133131324} is an apocalyptic number.

1320133131324 is a gapful number since it is divisible by the number (14) 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 1320133131324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974345445800).

1320133131324 is an abundant number, since it is smaller than the sum of its proper divisors (2628557760276).

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

1320133131324 is a wasteful number, since it uses less digits than its factorization.

1320133131324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25417 (or 25405 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1320133131324 its reverse (4231313310231), we get a palindrome (5551446441555).

The spelling of 1320133131324 in words is "one trillion, three hundred twenty billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred twenty-four".