331333400001300 has 288 divisors, whose sum is σ = 963751627948032. Its totient is φ = 87887673669120.

The previous prime is 331333400001299. The next prime is 331333400001313. The reversal of 331333400001300 is 3100004333133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118206705699 + ... + 118206708501.

It is an arithmetic number, because the mean of its divisors is an integer number (3346359819264).

Almost surely, 2^{331333400001300} is an apocalyptic number.

331333400001300 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 331333400001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481875813974016).

331333400001300 is an abundant number, since it is smaller than the sum of its proper divisors (632418227946732).

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

331333400001300 is a wasteful number, since it uses less digits than its factorization.

331333400001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 331333400001300 its reverse (3100004333133), we get a palindrome (334433404334433).

The spelling of 331333400001300 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, four hundred million, one thousand, three hundred".