330101311332 has 192 divisors, whose sum is σ = 944180858880. Its totient is φ = 88636114944.

The previous prime is 330101311223. The next prime is 330101311333. The reversal of 330101311332 is 233113101033.

It is a super-2 number, since 2×330101311332² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330101311299 and 330101311308.

It is not an unprimeable number, because it can be changed into a prime (330101311333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298543 + ... + 2437929.

It is an arithmetic number, because the mean of its divisors is an integer number (4917608640).

Almost surely, 2^330101311332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330101311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472090429440).

330101311332 is an abundant number, since it is smaller than the sum of its proper divisors (614079547548).

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

330101311332 is a wasteful number, since it uses less digits than its factorization.

330101311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139490 (or 139488 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 330101311332 its reverse (233113101033), we get a palindrome (563214412365).

The spelling of 330101311332 in words is "three hundred thirty billion, one hundred one million, three hundred eleven thousand, three hundred thirty-two".