1311033331232 has 192 divisors, whose sum is σ = 2780828983296. Its totient is φ = 607079193600.

The previous prime is 1311033331219. The next prime is 1311033331241. The reversal of 1311033331232 is 2321333301131.

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 31 ways as a sum of consecutive naturals, for example, 635497433 + ... + 635499495.

It is an arithmetic number, because the mean of its divisors is an integer number (14483484288).

Almost surely, 2^{1311033331232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311033331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390414491648).

1311033331232 is an abundant number, since it is smaller than the sum of its proper divisors (1469795652064).

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

1311033331232 is a wasteful number, since it uses less digits than its factorization.

1311033331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1311033331232 its reverse (2321333301131), we get a palindrome (3632366632363).

The spelling of 1311033331232 in words is "one trillion, three hundred eleven billion, thirty-three million, three hundred thirty-one thousand, two hundred thirty-two".