331121531511342 has 256 divisors, whose sum is σ = 920374506455040. Its totient is φ = 86691463833600.

The previous prime is 331121531511283. The next prime is 331121531511349. The reversal of 331121531511342 is 243115135121133.

331121531511342 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 2 + 1 + 531 + 5 + 113 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331121531511297 and 331121531511306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331121531511349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16792723 + ... + 30728465.

It is an arithmetic number, because the mean of its divisors is an integer number (3595212915840).

Almost surely, 2^{331121531511342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331121531511342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460187253227520).

331121531511342 is an abundant number, since it is smaller than the sum of its proper divisors (589252974943698).

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

331121531511342 is a wasteful number, since it uses less digits than its factorization.

331121531511342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935976 (or 13935970 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

Adding to 331121531511342 its reverse (243115135121133), we get a palindrome (574236666632475).

The spelling of 331121531511342 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, five hundred thirty-one million, five hundred eleven thousand, three hundred forty-two".