13201332350304 has 48 divisors (see below), whose sum is σ = 39603997052928. Its totient is φ = 3771809242752.

The previous prime is 13201332350293. The next prime is 13201332350317. The reversal of 13201332350304 is 40305323310231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9822419232 + ... + 9822420575.

It is an arithmetic number, because the mean of its divisors is an integer number (825083271936).

Almost surely, 2^{13201332350304} is an apocalyptic number.

13201332350304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13201332350304 is an abundant number, since it is smaller than the sum of its proper divisors (26402664702624).

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

13201332350304 is a wasteful number, since it uses less digits than its factorization.

13201332350304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19644839827 (or 19644839819 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 13201332350304 its reverse (40305323310231), we get a palindrome (53506655660535).

The spelling of 13201332350304 in words is "thirteen trillion, two hundred one billion, three hundred thirty-two million, three hundred fifty thousand, three hundred four".