331003121040312 has 256 divisors, whose sum is σ = 994491012787200. Its totient is φ = 89803607040000.

The previous prime is 331003121040301. The next prime is 331003121040323. The reversal of 331003121040312 is 213040121300133.

It is an interprime number because it is at equal distance from previous prime (331003121040301) and next prime (331003121040323).

It is a super-2 number, since 2×331003121040312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2677935312 + ... + 2678058912.

It is an arithmetic number, because the mean of its divisors is an integer number (3884730518700).

Almost surely, 2^{331003121040312} 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 331003121040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497245506393600).

331003121040312 is an abundant number, since it is smaller than the sum of its proper divisors (663487891746888).

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

331003121040312 is a wasteful number, since it uses less digits than its factorization.

331003121040312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132718 (or 132714 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331003121040312 its reverse (213040121300133), we get a palindrome (544043242340445).

The spelling of 331003121040312 in words is "three hundred thirty-one trillion, three billion, one hundred twenty-one million, forty thousand, three hundred twelve".