13313024143232 has 128 divisors (see below), whose sum is σ = 29181237120000. Its totient is φ = 5999705671680.

The previous prime is 13313024143231. The next prime is 13313024143261. The reversal of 13313024143232 is 23234142031331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13313024143232² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313024143231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76974869 + ... + 77147627.

It is an arithmetic number, because the mean of its divisors is an integer number (227978415000).

Almost surely, 2^{13313024143232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313024143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14590618560000).

13313024143232 is an abundant number, since it is smaller than the sum of its proper divisors (15868212976768).

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

13313024143232 is a wasteful number, since it uses less digits than its factorization.

13313024143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173252 (or 173240 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 13313024143232 its reverse (23234142031331), we get a palindrome (36547166174563).

The spelling of 13313024143232 in words is "thirteen trillion, three hundred thirteen billion, twenty-four million, one hundred forty-three thousand, two hundred thirty-two".