331213104011000 has 256 divisors, whose sum is σ = 782037859000320. Its totient is φ = 131295003840000.

The previous prime is 331213104010949. The next prime is 331213104011029. The reversal of 331213104011000 is 110401312133.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 64052038415 + ... + 64052043585.

It is an arithmetic number, because the mean of its divisors is an integer number (3054835386720).

Almost surely, 2^{331213104011000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331213104011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391018929500160).

331213104011000 is an abundant number, since it is smaller than the sum of its proper divisors (450824754989320).

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

331213104011000 is a wasteful number, since it uses less digits than its factorization.

331213104011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 331213104011000 its reverse (110401312133), we get a palindrome (331323505323133).

The spelling of 331213104011000 in words is "three hundred thirty-one trillion, two hundred thirteen billion, one hundred four million, eleven thousand".