31223441313040 has 80 divisors (see below), whose sum is σ = 73098408366720. Its totient is φ = 12402735206400.

The previous prime is 31223441313017. The next prime is 31223441313041. The reversal of 31223441313040 is 4031314432213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 31223441312993 and 31223441313011.

It is not an unprimeable number, because it can be changed into a prime (31223441313041) 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, 37873707 + ... + 38689333.

It is an arithmetic number, because the mean of its divisors is an integer number (913730104584).

Almost surely, 2^{31223441313040} 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 31223441313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36549204183360).

31223441313040 is an abundant number, since it is smaller than the sum of its proper divisors (41874967053680).

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

31223441313040 is a wasteful number, since it uses less digits than its factorization.

31223441313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818960 (or 818954 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 31223441313040 its reverse (4031314432213), we get a palindrome (35254755745253).

The spelling of 31223441313040 in words is "thirty-one trillion, two hundred twenty-three billion, four hundred forty-one million, three hundred thirteen thousand, forty".