13313302023132 has 216 divisors, whose sum is σ = 36361213289856. Its totient is φ = 4259040077376.

The previous prime is 13313302023017. The next prime is 13313302023173. The reversal of 13313302023132 is 23132020331331.

13313302023132 is a `hidden beast` number, since 1 + 3 + 313 + 30 + 2 + 0 + 2 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13313302023096 and 13313302023105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136465723 + ... + 136563245.

It is an arithmetic number, because the mean of its divisors is an integer number (168338950416).

Almost surely, 2^{13313302023132} is an apocalyptic number.

13313302023132 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 13313302023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180606644928).

13313302023132 is an abundant number, since it is smaller than the sum of its proper divisors (23047911266724).

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

13313302023132 is a wasteful number, since it uses less digits than its factorization.

13313302023132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97767 (or 97724 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13313302023132 its reverse (23132020331331), we get a palindrome (36445322354463).

The spelling of 13313302023132 in words is "thirteen trillion, three hundred thirteen billion, three hundred two million, twenty-three thousand, one hundred thirty-two".