13201304434164 has 72 divisors (see below), whose sum is σ = 41604110952768. Its totient is φ = 3428910241920.

The previous prime is 13201304434103. The next prime is 13201304434177. The reversal of 13201304434164 is 46143440310231.

13201304434164 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 304 + 4 + 341 + 6 + 4 = 666.

13201304434164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13201304434164³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2381184897 + ... + 2381190440.

It is an arithmetic number, because the mean of its divisors is an integer number (577834874344).

Almost surely, 2^{13201304434164} is an apocalyptic number.

13201304434164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13201304434164 is an abundant number, since it is smaller than the sum of its proper divisors (28402806518604).

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

13201304434164 is a wasteful number, since it uses less digits than its factorization.

13201304434164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762375365 (or 4762375360 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 13201304434164 its reverse (46143440310231), we get a palindrome (59344744744395).

The spelling of 13201304434164 in words is "thirteen trillion, two hundred one billion, three hundred four million, four hundred thirty-four thousand, one hundred sixty-four".