13201404312 has 128 divisors (see below), whose sum is σ = 34975825920. Its totient is φ = 4146576000.

The previous prime is 13201404283. The next prime is 13201404313. The reversal of 13201404312 is 21340410231.

13201404312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201404313) 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 31 ways as a sum of consecutive naturals, for example, 4382887 + ... + 4385897.

It is an arithmetic number, because the mean of its divisors is an integer number (273248640).

Almost surely, 2^13201404312 is an apocalyptic number.

13201404312 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 13201404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487912960).

13201404312 is an abundant number, since it is smaller than the sum of its proper divisors (21774421608).

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

13201404312 is a wasteful number, since it uses less digits than its factorization.

13201404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13201404312 its reverse (21340410231), we get a palindrome (34541814543).

The spelling of 13201404312 in words is "thirteen billion, two hundred one million, four hundred four thousand, three hundred twelve".