320011013322 has 192 divisors, whose sum is σ = 956103692544. Its totient is φ = 74652088320.

The previous prime is 320011013293. The next prime is 320011013339. The reversal of 320011013322 is 223310110023.

320011013322 is a `hidden beast` number, since 320 + 0 + 1 + 10 + 1 + 332 + 2 = 666.

It is a super-2 number, since 2×320011013322² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320011013295 and 320011013304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426658 + ... + 906674.

It is an arithmetic number, because the mean of its divisors is an integer number (4979706732).

Almost surely, 2^320011013322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320011013322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478051846272).

320011013322 is an abundant number, since it is smaller than the sum of its proper divisors (636092679222).

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

320011013322 is a wasteful number, since it uses less digits than its factorization.

320011013322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480093 (or 480090 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320011013322 its reverse (223310110023), we get a palindrome (543321123345).

The spelling of 320011013322 in words is "three hundred twenty billion, eleven million, thirteen thousand, three hundred twenty-two".