1315333532000 has 192 divisors, whose sum is σ = 3255210975744. Its totient is φ = 522327398400.

The previous prime is 1315333531999. The next prime is 1315333532011. The reversal of 1315333532000 is 2353335131.

It is a congruent number.

It is an unprimeable number.

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, 839395217 + ... + 839396783.

It is an arithmetic number, because the mean of its divisors is an integer number (16954223832).

Almost surely, 2^{1315333532000} is an apocalyptic number.

1315333532000 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 1315333532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627605487872).

1315333532000 is an abundant number, since it is smaller than the sum of its proper divisors (1939877443744).

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

1315333532000 is a wasteful number, since it uses less digits than its factorization.

1315333532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 29.

Adding to 1315333532000 its reverse (2353335131), we get a palindrome (1317686867131).

The spelling of 1315333532000 in words is "one trillion, three hundred fifteen billion, three hundred thirty-three million, five hundred thirty-two thousand".