13330331013132 has 144 divisors (see below), whose sum is σ = 38751607544832. Its totient is φ = 3784768606080.

The previous prime is 13330331013121. The next prime is 13330331013173. The reversal of 13330331013132 is 23131013303331.

13330331013132 is a `hidden beast` number, since 1 + 3 + 3 + 30 + 3 + 310 + 1 + 313 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13330331013096 and 13330331013105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152005657 + ... + 152093327.

It is an arithmetic number, because the mean of its divisors is an integer number (269108385728).

Almost surely, 2^{13330331013132} is an apocalyptic number.

13330331013132 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 13330331013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375803772416).

13330331013132 is an abundant number, since it is smaller than the sum of its proper divisors (25421276531700).

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

13330331013132 is a wasteful number, since it uses less digits than its factorization.

13330331013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91468 (or 91463 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13330331013132 its reverse (23131013303331), we get a palindrome (36461344316463).

The spelling of 13330331013132 in words is "thirteen trillion, three hundred thirty billion, three hundred thirty-one million, thirteen thousand, one hundred thirty-two".