1353331320000 has 560 divisors, whose sum is σ = 4930009691904. Its totient is φ = 324800000000.

The previous prime is 1353331319959. The next prime is 1353331320073. The reversal of 1353331320000 is 231333531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133314925 + ... + 133325075.

Almost surely, 2^{1353331320000} is an apocalyptic number.

1353331320000 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 1353331320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465004845952).

1353331320000 is an abundant number, since it is smaller than the sum of its proper divisors (3576678371904).

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

1353331320000 is a wasteful number, since it uses less digits than its factorization.

1353331320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

Adding to 1353331320000 its reverse (231333531), we get a palindrome (1353562653531).

The spelling of 1353331320000 in words is "one trillion, three hundred fifty-three billion, three hundred thirty-one million, three hundred twenty thousand".