1331133012000 has 288 divisors, whose sum is σ = 5153664507264. Its totient is φ = 322698816000.

The previous prime is 1331133011959. The next prime is 1331133012019. The reversal of 1331133012000 is 2103311331.

It is a happy number.

1331133012000 is a `hidden beast` number, since 1 + 3 + 311 + 330 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284724 + ... + 2076723.

It is an arithmetic number, because the mean of its divisors is an integer number (17894668428).

Almost surely, 2^{1331133012000} is an apocalyptic number.

1331133012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331133012000 is an abundant number, since it is smaller than the sum of its proper divisors (3822531495264).

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

1331133012000 is a wasteful number, since it uses less digits than its factorization.

1331133012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361489 (or 3361468 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1331133012000 its reverse (2103311331), we get a palindrome (1333236323331).

The spelling of 1331133012000 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-three million, twelve thousand".