131413314201311 has 16 divisors (see below), whose sum is σ = 136708633742208. Its totient is φ = 126220847205600.

The previous prime is 131413314201307. The next prime is 131413314201313. The reversal of 131413314201311 is 113102413314131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131413314201311 - 2² = 131413314201307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413314201313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3938540 + ... + 16683486.

It is an arithmetic number, because the mean of its divisors is an integer number (8544289608888).

Almost surely, 2^{131413314201311} is an apocalyptic number.

131413314201311 is a deficient number, since it is larger than the sum of its proper divisors (5295319540897).

131413314201311 is a wasteful number, since it uses less digits than its factorization.

131413314201311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12748982.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 131413314201311 its reverse (113102413314131), we get a palindrome (244515727515442).

The spelling of 131413314201311 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fourteen million, two hundred one thousand, three hundred eleven".