1331320311000 has 96 divisors (see below), whose sum is σ = 4499862681600. Its totient is φ = 355018747200.

The previous prime is 1331320310987. The next prime is 1331320311031. The reversal of 1331320311000 is 1130231331.

It is a happy number.

1331320311000 is a `hidden beast` number, since 1 + 3 + 31 + 320 + 311 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1331320311000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73953240 + ... + 73971239.

It is an arithmetic number, because the mean of its divisors is an integer number (46873569600).

Almost surely, 2^{1331320311000} is an apocalyptic number.

1331320311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331320311000 is an abundant number, since it is smaller than the sum of its proper divisors (3168542370600).

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

1331320311000 is a wasteful number, since it uses less digits than its factorization.

1331320311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147924506 (or 147924489 counting only the distinct ones).

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

Adding to 1331320311000 its reverse (1130231331), we get a palindrome (1332450542331).

The spelling of 1331320311000 in words is "one trillion, three hundred thirty-one billion, three hundred twenty million, three hundred eleven thousand".