13233252022004 has 144 divisors (see below), whose sum is σ = 28029353425920. Its totient is φ = 5444942469120.

The previous prime is 13233252021929. The next prime is 13233252022009. The reversal of 13233252022004 is 40022025233231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233252022009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422515457 + ... + 422546775.

It is an arithmetic number, because the mean of its divisors is an integer number (194648287680).

Almost surely, 2^{13233252022004} is an apocalyptic number.

13233252022004 is a gapful number since it is divisible by the number (14) 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 13233252022004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014676712960).

13233252022004 is an abundant number, since it is smaller than the sum of its proper divisors (14796101403916).

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

13233252022004 is a wasteful number, since it uses less digits than its factorization.

13233252022004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31918 (or 31909 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 13233252022004 its reverse (40022025233231), we get a palindrome (53255277255235).

The spelling of 13233252022004 in words is "thirteen trillion, two hundred thirty-three billion, two hundred fifty-two million, twenty-two thousand, four".