13131301432401 has 24 divisors (see below), whose sum is σ = 19649475878760. Its totient is φ = 8440274304000.

The previous prime is 13131301432393. The next prime is 13131301432421. The reversal of 13131301432401 is 10423410313131.

13131301432401 is a `hidden beast` number, since 1 + 3 + 1 + 31 + 301 + 4 + 324 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3514331369025 + 9616970063376 = 1874655^2 + 3101124^2 .

It is not a de Polignac number, because 13131301432401 - 2³ = 13131301432393 is a prime.

It is a super-3 number, since 3×13131301432401³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13131301432421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35702560 + ... + 36068481.

It is an arithmetic number, because the mean of its divisors is an integer number (818728161615).

Almost surely, 2^{13131301432401} is an apocalyptic number.

It is an amenable number.

13131301432401 is a deficient number, since it is larger than the sum of its proper divisors (6518174446359).

13131301432401 is a wasteful number, since it uses less digits than its factorization.

13131301432401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71771777 (or 71771774 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13131301432401 its reverse (10423410313131), we get a palindrome (23554711745532).

The spelling of 13131301432401 in words is "thirteen trillion, one hundred thirty-one billion, three hundred one million, four hundred thirty-two thousand, four hundred one".