1331223030000 has 600 divisors, whose sum is σ = 4923889850880. Its totient is φ = 334704960000.

The previous prime is 1331223029999. The next prime is 1331223030001. The reversal of 1331223030000 is 303221331.

1331223030000 is a `hidden beast` number, since 1 + 331 + 2 + 2 + 30 + 300 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1331223029999) and next prime (1331223030001).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331223030001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 381328255 + ... + 381331745.

Almost surely, 2^{1331223030000} is an apocalyptic number.

1331223030000 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 1331223030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461944925440).

1331223030000 is an abundant number, since it is smaller than the sum of its proper divisors (3592666820880).

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

1331223030000 is a wasteful number, since it uses less digits than its factorization.

1331223030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1331223030000 its reverse (303221331), we get a palindrome (1331526251331).

The spelling of 1331223030000 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-three million, thirty thousand".