1331021313000 has 192 divisors, whose sum is σ = 4620443789520. Its totient is φ = 345345984000.

The previous prime is 1331021312969. The next prime is 1331021313031. The reversal of 1331021313000 is 3131201331.

It is a happy number.

1331021313000 is a `hidden beast` number, since 1 + 3 + 310 + 21 + 31 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1331021312969) and next prime (1331021313031).

It can be written as a sum of positive squares in 8 ways, for example, as 588635735076 + 742385577924 = 767226^2 + 861618^2 .

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1665531 + ... + 2331530.

Almost surely, 2^{1331021313000} is an apocalyptic number.

1331021313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331021313000 is an abundant number, since it is smaller than the sum of its proper divisors (3289422476520).

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

1331021313000 is a wasteful number, since it uses less digits than its factorization.

1331021313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997125 (or 3997108 counting only the distinct ones).

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

Adding to 1331021313000 its reverse (3131201331), we get a palindrome (1334152514331).

The spelling of 1331021313000 in words is "one trillion, three hundred thirty-one billion, twenty-one million, three hundred thirteen thousand".