131313113321101 has 8 divisors (see below), whose sum is σ = 131325522809400. Its totient is φ = 131300704254720.

The previous prime is 131313113321069. The next prime is 131313113321111. The reversal of 131313113321101 is 101123311313131.

It can be written as a sum of positive squares in 4 ways, for example, as 68672695036201 + 62640418284900 = 8286899^2 + 7914570^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131313113321101 - 2⁵ = 131313113321069 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 (131313113321111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314645681 + ... + 1314745561.

It is an arithmetic number, because the mean of its divisors is an integer number (16415690351175).

Almost surely, 2^{131313113321101} is an apocalyptic number.

It is an amenable number.

131313113321101 is a deficient number, since it is larger than the sum of its proper divisors (12409488299).

131313113321101 is an equidigital number, since it uses as much as digits as its factorization.

131313113321101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210959.

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 131313113321101 its reverse (101123311313131), we get a palindrome (232436424634232).

The spelling of 131313113321101 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred thirteen million, three hundred twenty-one thousand, one hundred one".