131413101333001 has 12 divisors (see below), whose sum is σ = 139632788054412. Its totient is φ = 123652097247488.

The previous prime is 131413101332977. The next prime is 131413101333011. The reversal of 131413101333001 is 100333101314131.

It can be written as a sum of positive squares in 6 ways, for example, as 41466181451776 + 89946919881225 = 6439424^2 + 9484035^2 .

It is not a de Polignac number, because 131413101333001 - 2⁹ = 131413101332489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413101333011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55495690 + ... + 57815203.

It is an arithmetic number, because the mean of its divisors is an integer number (11636065671201).

Almost surely, 2^{131413101333001} is an apocalyptic number.

It is an amenable number.

131413101333001 is a deficient number, since it is larger than the sum of its proper divisors (8219686721411).

131413101333001 is a wasteful number, since it uses less digits than its factorization.

131413101333001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113314940 (or 113314923 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 131413101333001 its reverse (100333101314131), we get a palindrome (231746202647132).

The spelling of 131413101333001 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, three hundred thirty-three thousand, one".