131311101313311 has 32 divisors (see below), whose sum is σ = 178167899750400. Its totient is φ = 86009030172000.

The previous prime is 131311101313297. The next prime is 131311101313313. The reversal of 131311101313311 is 113313101113131.

It is not a de Polignac number, because 131311101313311 - 2¹⁸ = 131311101051167 is a prime.

It is a super-2 number, since 2×131311101313311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311101313313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63647010 + ... + 65677728.

It is an arithmetic number, because the mean of its divisors is an integer number (5567746867200).

Almost surely, 2^{131311101313311} is an apocalyptic number.

131311101313311 is a deficient number, since it is larger than the sum of its proper divisors (46856798437089).

131311101313311 is a wasteful number, since it uses less digits than its factorization.

131311101313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032139.

The product of its (nonzero) digits is 243, while the sum is 24.

Adding to 131311101313311 its reverse (113313101113131), we get a palindrome (244624202426442).

The spelling of 131311101313311 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred one million, three hundred thirteen thousand, three hundred eleven".