1331013332000 has 192 divisors, whose sum is σ = 3628074602880. Its totient is φ = 475800448000.

The previous prime is 1331013331993. The next prime is 1331013332023. The reversal of 1331013332000 is 2333101331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2339642 + ... + 2852358.

It is an arithmetic number, because the mean of its divisors is an integer number (18896221890).

Almost surely, 2^{1331013332000} is an apocalyptic number.

1331013332000 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 1331013332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814037301440).

1331013332000 is an abundant number, since it is smaller than the sum of its proper divisors (2297061270880).

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

1331013332000 is a wasteful number, since it uses less digits than its factorization.

1331013332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512812 (or 512794 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1331013332000 its reverse (2333101331), we get a palindrome (1333346433331).

The spelling of 1331013332000 in words is "one trillion, three hundred thirty-one billion, thirteen million, three hundred thirty-two thousand".