1331333133012 has 96 divisors (see below), whose sum is σ = 3462587304960. Its totient is φ = 442367814240.

The previous prime is 1331333132959. The next prime is 1331333133017. The reversal of 1331333133012 is 2103313331331.

1331333133012 is a `hidden beast` number, since 1 + 3 + 313 + 3 + 3 + 1 + 330 + 12 = 666.

It is a super-2 number, since 2×1331333133012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331333133017) by changing a digit.

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, 45793993 + ... + 45823055.

It is an arithmetic number, because the mean of its divisors is an integer number (36068617760).

Almost surely, 2^{1331333133012} is an apocalyptic number.

1331333133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331333133012 is an abundant number, since it is smaller than the sum of its proper divisors (2131254171948).

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

1331333133012 is a wasteful number, since it uses less digits than its factorization.

1331333133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30410 (or 30402 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1331333133012 its reverse (2103313331331), we get a palindrome (3434646464343).

The spelling of 1331333133012 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-three million, one hundred thirty-three thousand, twelve".