13301003232132 has 384 divisors, whose sum is σ = 40173428736000. Its totient is φ = 3325798694400.

The previous prime is 13301003232131. The next prime is 13301003232133. The reversal of 13301003232132 is 23123230010331.

It is an interprime number because it is at equal distance from previous prime (13301003232131) and next prime (13301003232133).

It is not an unprimeable number, because it can be changed into a prime (13301003232131) by changing a digit.

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, 576713233 + ... + 576736295.

It is an arithmetic number, because the mean of its divisors is an integer number (104618304000).

Almost surely, 2^{13301003232132} is an apocalyptic number.

13301003232132 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 13301003232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20086714368000).

13301003232132 is an abundant number, since it is smaller than the sum of its proper divisors (26872425503868).

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

13301003232132 is a wasteful number, since it uses less digits than its factorization.

13301003232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23367 (or 23365 counting only the distinct ones).

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

Adding to 13301003232132 its reverse (23123230010331), we get a palindrome (36424233242463).

The spelling of 13301003232132 in words is "thirteen trillion, three hundred one billion, three million, two hundred thirty-two thousand, one hundred thirty-two".