13223253252000 has 768 divisors, whose sum is σ = 48502831104000. Its totient is φ = 3121464320000.

The previous prime is 13223253251933. The next prime is 13223253252023. The reversal of 13223253252000 is 25235232231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3241785961 + ... + 3241790039.

It is an arithmetic number, because the mean of its divisors is an integer number (63154728000).

Almost surely, 2^{13223253252000} is an apocalyptic number.

13223253252000 is a gapful number since it is divisible by the number (10) 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 13223253252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24251415552000).

13223253252000 is an abundant number, since it is smaller than the sum of its proper divisors (35279577852000).

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

13223253252000 is a wasteful number, since it uses less digits than its factorization.

13223253252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 13223253252000 its reverse (25235232231), we get a palindrome (13248488484231).

The spelling of 13223253252000 in words is "thirteen trillion, two hundred twenty-three billion, two hundred fifty-three million, two hundred fifty-two thousand".