331201201333002 has 256 divisors, whose sum is σ = 917630645944320. Its totient is φ = 76924382745600.

The previous prime is 331201201332983. The next prime is 331201201333031. The reversal of 331201201333002 is 200333102102133.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18561852 + ... + 31732392.

It is an arithmetic number, because the mean of its divisors is an integer number (3584494710720).

Almost surely, 2^{331201201333002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331201201333002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458815322972160).

331201201333002 is an abundant number, since it is smaller than the sum of its proper divisors (586429444611318).

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

331201201333002 is a wasteful number, since it uses less digits than its factorization.

331201201333002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13170709.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 331201201333002 its reverse (200333102102133), we get a palindrome (531534303435135).

The spelling of 331201201333002 in words is "three hundred thirty-one trillion, two hundred one billion, two hundred one million, three hundred thirty-three thousand, two".