31120330022320 has 320 divisors, whose sum is σ = 91945261126656. Its totient is φ = 9514869719040.

The previous prime is 31120330022281. The next prime is 31120330022351. The reversal of 31120330022320 is 2322003302113.

It is a super-2 number, since 2×31120330022320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31120330022291 and 31120330022300.

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 63 ways as a sum of consecutive naturals, for example, 67289307 + ... + 67750213.

Almost surely, 2^{31120330022320} 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 31120330022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45972630563328).

31120330022320 is an abundant number, since it is smaller than the sum of its proper divisors (60824931104336).

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

31120330022320 is a wasteful number, since it uses less digits than its factorization.

31120330022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461148 (or 461142 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 31120330022320 its reverse (2322003302113), we get a palindrome (33442333324433).

The spelling of 31120330022320 in words is "thirty-one trillion, one hundred twenty billion, three hundred thirty million, twenty-two thousand, three hundred twenty".