13323122020032 has 224 divisors, whose sum is σ = 40495504642560. Its totient is φ = 3826343854080.

The previous prime is 13323122020007. The next prime is 13323122020067. The reversal of 13323122020032 is 23002022132331.

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 = 13323122019984 and 13323122020011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4036648 + ... + 6552920.

Almost surely, 2^{13323122020032} is an apocalyptic number.

13323122020032 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 13323122020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20247752321280).

13323122020032 is an abundant number, since it is smaller than the sum of its proper divisors (27172382622528).

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

13323122020032 is a wasteful number, since it uses less digits than its factorization.

13323122020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516431 (or 2516421 counting only the distinct ones).

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

Adding to 13323122020032 its reverse (23002022132331), we get a palindrome (36325144152363).

The spelling of 13323122020032 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-two million, twenty thousand, thirty-two".