131221110101313 has 8 divisors (see below), whose sum is σ = 185253331907808. Its totient is φ = 82334814181184.

The previous prime is 131221110101303. The next prime is 131221110101329. The reversal of 131221110101313 is 313101011122131.

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 131221110101313 - 2¹⁶ = 131221110035777 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131221110101313.

It is not an unprimeable number, because it can be changed into a prime (131221110101303) 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, 1286481471531 + ... + 1286481471632.

It is an arithmetic number, because the mean of its divisors is an integer number (23156666488476).

Almost surely, 2^{131221110101313} is an apocalyptic number.

It is an amenable number.

131221110101313 is a deficient number, since it is larger than the sum of its proper divisors (54032221806495).

131221110101313 is a wasteful number, since it uses less digits than its factorization.

131221110101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572962943183.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 131221110101313 its reverse (313101011122131), we get a palindrome (444322121223444).

The spelling of 131221110101313 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, one hundred ten million, one hundred one thousand, three hundred thirteen".