13201351313400 has 72 divisors (see below), whose sum is σ = 44334538166880. Its totient is φ = 3520360349760.

The previous prime is 13201351313393. The next prime is 13201351313419. The reversal of 13201351313400 is 431315310231.

13201351313400 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 13 + 513 + 134 + 0 + 0 = 666.

13201351313400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×13201351313400³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3667040232 + ... + 3667043831.

It is an arithmetic number, because the mean of its divisors is an integer number (615757474540).

Almost surely, 2^{13201351313400} is an apocalyptic number.

13201351313400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201351313400 is an abundant number, since it is smaller than the sum of its proper divisors (31133186853480).

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

13201351313400 is a wasteful number, since it uses less digits than its factorization.

13201351313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7334084085 (or 7334084073 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13201351313400 its reverse (431315310231), we get a palindrome (13632666623631).

The spelling of 13201351313400 in words is "thirteen trillion, two hundred one billion, three hundred fifty-one million, three hundred thirteen thousand, four hundred".