131214333331133 has 24 divisors (see below), whose sum is σ = 151773397475688. Its totient is φ = 112987347013632.

The previous prime is 131214333331093. The next prime is 131214333331253. The reversal of 131214333331133 is 331133333412131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 68673092807929 + 62541240523204 = 8286923^2 + 7908302^2 .

It is not a de Polignac number, because 131214333331133 - 2⁶ = 131214333331069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131214333331093 and 131214333331102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214333330133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201761810 + ... + 202411107.

It is an arithmetic number, because the mean of its divisors is an integer number (6323891561487).

Almost surely, 2^{131214333331133} is an apocalyptic number.

131214333331133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131214333331133 is a deficient number, since it is larger than the sum of its proper divisors (20559064144555).

131214333331133 is a wasteful number, since it uses less digits than its factorization.

131214333331133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404173073 (or 404173060 counting only the distinct ones).

The product of its digits is 52488, while the sum is 35.

Adding to 131214333331133 its reverse (331133333412131), we get a palindrome (462347666743264).

The spelling of 131214333331133 in words is "one hundred thirty-one trillion, two hundred fourteen billion, three hundred thirty-three million, three hundred thirty-one thousand, one hundred thirty-three".