331201331103000 has 256 divisors, whose sum is σ = 1047731697792000. Its totient is φ = 87098847897600.

The previous prime is 331201331102953. The next prime is 331201331103047. The reversal of 331201331103000 is 301133102133.

It is an interprime number because it is at equal distance from previous prime (331201331102953) and next prime (331201331103047).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65006239 + ... + 69915761.

It is an arithmetic number, because the mean of its divisors is an integer number (4092701944500).

Almost surely, 2^{331201331103000} is an apocalyptic number.

331201331103000 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 331201331103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523865848896000).

331201331103000 is an abundant number, since it is smaller than the sum of its proper divisors (716530366689000).

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

331201331103000 is a wasteful number, since it uses less digits than its factorization.

331201331103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909859 (or 4909845 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 331201331103000 its reverse (301133102133), we get a palindrome (331502464205133).

The spelling of 331201331103000 in words is "three hundred thirty-one trillion, two hundred one billion, three hundred thirty-one million, one hundred three thousand".