1331221113000 has 384 divisors, whose sum is σ = 4668890073120. Its totient is φ = 341828812800.

The previous prime is 1331221112989. The next prime is 1331221113017. The reversal of 1331221113000 is 3111221331.

1331221113000 is a `hidden beast` number, since 1 + 331 + 2 + 21 + 11 + 300 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 175901392836 + 1155319720164 = 419406^2 + 1074858^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32280394 + ... + 32321606.

Almost surely, 2^{1331221113000} is an apocalyptic number.

1331221113000 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 1331221113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334445036560).

1331221113000 is an abundant number, since it is smaller than the sum of its proper divisors (3337668960120).

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

1331221113000 is a wasteful number, since it uses less digits than its factorization.

1331221113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41374 (or 41357 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1331221113000 its reverse (3111221331), we get a palindrome (1334332334331).

The spelling of 1331221113000 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-one million, one hundred thirteen thousand".