31133321131131 has 144 divisors (see below), whose sum is σ = 49117537123200. Its totient is φ = 18992534685696.

The previous prime is 31133321131037. The next prime is 31133321131163. The reversal of 31133321131131 is 13113112333113.

31133321131131 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 332 + 11 + 311 + 3 + 1 = 666.

It is not a de Polignac number, because 31133321131131 - 2²³ = 31133312742523 is a prime.

It is a super-3 number, since 3×31133321131131³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31133321131095 and 31133321131104.

It is not an unprimeable number, because it can be changed into a prime (31133321131331) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10593166660 + ... + 10593169598.

It is an arithmetic number, because the mean of its divisors is an integer number (341094007800).

Almost surely, 2^{31133321131131} is an apocalyptic number.

31133321131131 is a deficient number, since it is larger than the sum of its proper divisors (17984215992069).

31133321131131 is a wasteful number, since it uses less digits than its factorization.

31133321131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3798 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 31133321131131 its reverse (13113112333113), we get a palindrome (44246433464244).

The spelling of 31133321131131 in words is "thirty-one trillion, one hundred thirty-three billion, three hundred twenty-one million, one hundred thirty-one thousand, one hundred thirty-one".