131001411240401 has 48 divisors (see below), whose sum is σ = 145908491704560. Its totient is φ = 117477791907840.

The previous prime is 131001411240389. The next prime is 131001411240421. The reversal of 131001411240401 is 104042114100131.

It can be written as a sum of positive squares in 24 ways, for example, as 11526018210001 + 119475393030400 = 3394999^2 + 10930480^2 .

It is not a de Polignac number, because 131001411240401 - 2³⁰ = 131000337498577 is a prime.

It is a super-2 number, since 2×131001411240401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131001411240421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18121646855 + ... + 18121654083.

It is an arithmetic number, because the mean of its divisors is an integer number (3039760243845).

Almost surely, 2^{131001411240401} is an apocalyptic number.

It is an amenable number.

131001411240401 is a deficient number, since it is larger than the sum of its proper divisors (14907080464159).

131001411240401 is a wasteful number, since it uses less digits than its factorization.

131001411240401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11286 (or 11273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 131001411240401 its reverse (104042114100131), we get a palindrome (235043525340532).

The spelling of 131001411240401 in words is "one hundred thirty-one trillion, one billion, four hundred eleven million, two hundred forty thousand, four hundred one".