13223301310032 has 160 divisors (see below), whose sum is σ = 37885983653760. Its totient is φ = 3940392960000.

The previous prime is 13223301310013. The next prime is 13223301310057. The reversal of 13223301310032 is 23001310332231.

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 = 13223301309984 and 13223301310011.

It is a congruent number.

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, 135256944 + ... + 135354672.

It is an arithmetic number, because the mean of its divisors is an integer number (236787397836).

Almost surely, 2^{13223301310032} is an apocalyptic number.

13223301310032 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 13223301310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942991826880).

13223301310032 is an abundant number, since it is smaller than the sum of its proper divisors (24662682343728).

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

13223301310032 is a wasteful number, since it uses less digits than its factorization.

13223301310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102013 (or 102007 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13223301310032 its reverse (23001310332231), we get a palindrome (36224611642263).

It can be divided in two parts, 1322330 and 1310032, that added together give a palindrome (2632362).

The spelling of 13223301310032 in words is "thirteen trillion, two hundred twenty-three billion, three hundred one million, three hundred ten thousand, thirty-two".