13022133220032 has 112 divisors (see below), whose sum is σ = 35191086336000. Its totient is φ = 4247918467072.

The previous prime is 13022133220021. The next prime is 13022133220091. The reversal of 13022133220032 is 23002233122031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13022133219984 and 13022133220011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94294969 + ... + 94432967.

It is an arithmetic number, because the mean of its divisors is an integer number (314206128000).

Almost surely, 2^{13022133220032} is an apocalyptic number.

13022133220032 is a gapful number since it is divisible by the number (12) 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 13022133220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595543168000).

13022133220032 is an abundant number, since it is smaller than the sum of its proper divisors (22168953115968).

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

13022133220032 is a wasteful number, since it uses less digits than its factorization.

13022133220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148518 (or 148508 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13022133220032 its reverse (23002233122031), we get a palindrome (36024366342063).

The spelling of 13022133220032 in words is "thirteen trillion, twenty-two billion, one hundred thirty-three million, two hundred twenty thousand, thirty-two".