331121022030000 has 300 divisors, whose sum is σ = 1160894989164768. Its totient is φ = 88076514240000.

The previous prime is 331121022029989. The next prime is 331121022030031. The reversal of 331121022030000 is 30220121133.

331121022030000 is a `hidden beast` number, since 33 + 112 + 1 + 0 + 220 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×331121022030000² (a number of 30 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 31096345 + ... + 40363655.

Almost surely, 2^{331121022030000} is an apocalyptic number.

331121022030000 is a gapful number since it is divisible by the number (30) 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 331121022030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580447494582384).

331121022030000 is an abundant number, since it is smaller than the sum of its proper divisors (829773967134768).

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

331121022030000 is a wasteful number, since it uses less digits than its factorization.

331121022030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267742 (or 9267718 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331121022030000 its reverse (30220121133), we get a palindrome (331151242151133).

The spelling of 331121022030000 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, twenty-two million, thirty thousand".