31332001330200 has 192 divisors, whose sum is σ = 101363198054400. Its totient is φ = 7991064576000.

The previous prime is 31332001330169. The next prime is 31332001330219. The reversal of 31332001330200 is 203310023313.

It is a congruent number.

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, 132375561 + ... + 132612039.

It is an arithmetic number, because the mean of its divisors is an integer number (527933323200).

Almost surely, 2^{31332001330200} is an apocalyptic number.

31332001330200 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 31332001330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50681599027200).

31332001330200 is an abundant number, since it is smaller than the sum of its proper divisors (70031196724200).

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

31332001330200 is a wasteful number, since it uses less digits than its factorization.

31332001330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246122 (or 246113 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 31332001330200 its reverse (203310023313), we get a palindrome (31535311353513).

The spelling of 31332001330200 in words is "thirty-one trillion, three hundred thirty-two billion, one million, three hundred thirty thousand, two hundred".