331003434121320 has 64 divisors (see below), whose sum is σ = 993011498208000. Its totient is φ = 88267476135168.

The previous prime is 331003434121291. The next prime is 331003434121351. The reversal of 331003434121320 is 23121434300133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196743441 + ... + 198418719.

It is an arithmetic number, because the mean of its divisors is an integer number (15515804659500).

Almost surely, 2^{331003434121320} is an apocalyptic number.

331003434121320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331003434121320 is an abundant number, since it is smaller than the sum of its proper divisors (662008064086680).

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

331003434121320 is a wasteful number, since it uses less digits than its factorization.

331003434121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321802 (or 3321798 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 331003434121320 its reverse (23121434300133), we get a palindrome (354124868421453).

The spelling of 331003434121320 in words is "three hundred thirty-one trillion, three billion, four hundred thirty-four million, one hundred twenty-one thousand, three hundred twenty".