31441221000320 has 128 divisors (see below), whose sum is σ = 79266442449600. Its totient is φ = 11892542238720.

The previous prime is 31441221000289. The next prime is 31441221000323. The reversal of 31441221000320 is 2300012214413.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (31441221000323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4188887 + ... + 8968233.

Almost surely, 2^{31441221000320} 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 31441221000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39633221224800).

31441221000320 is an abundant number, since it is smaller than the sum of its proper divisors (47825221449280).

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

31441221000320 is a wasteful number, since it uses less digits than its factorization.

31441221000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779926 (or 4779914 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 31441221000320 its reverse (2300012214413), we get a palindrome (33741233214733).

The spelling of 31441221000320 in words is "thirty-one trillion, four hundred forty-one billion, two hundred twenty-one million, three hundred twenty", and thus it is an aban number.