332003001304100 has 144 divisors (see below), whose sum is σ = 890126966977920. Its totient is φ = 104924012774400.

The previous prime is 332003001304087. The next prime is 332003001304243. The reversal of 332003001304100 is 1403100300233.

It is a super-3 number, since 3×332003001304100³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 336840761 + ... + 337824960.

It is an arithmetic number, because the mean of its divisors is an integer number (6181437270680).

Almost surely, 2^{332003001304100} is an apocalyptic number.

It is an amenable number.

332003001304100 is an abundant number, since it is smaller than the sum of its proper divisors (558123965673820).

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

332003001304100 is a wasteful number, since it uses less digits than its factorization.

332003001304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674665798 (or 674665791 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 332003001304100 its reverse (1403100300233), we get a palindrome (333406101604333).

The spelling of 332003001304100 in words is "three hundred thirty-two trillion, three billion, one million, three hundred four thousand, one hundred".