331200330320 has 40 divisors (see below), whose sum is σ = 770065049736. Its totient is φ = 132475954688.

The previous prime is 331200330311. The next prime is 331200330379. The reversal of 331200330320 is 23033002133.

It can be written as a sum of positive squares in 4 ways, for example, as 104372932624 + 226827397696 = 323068^2 + 476264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×331200330320² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 331200330292 and 331200330301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4305314 + ... + 4381566.

Almost surely, 2^331200330320 is an apocalyptic number.

It is an amenable number.

331200330320 is an abundant number, since it is smaller than the sum of its proper divisors (438864719416).

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

331200330320 is a wasteful number, since it uses less digits than its factorization.

331200330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130559 (or 130553 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 331200330320 its reverse (23033002133), we get a palindrome (354233332453).

The spelling of 331200330320 in words is "three hundred thirty-one billion, two hundred million, three hundred thirty thousand, three hundred twenty".