231132221313 has 32 divisors (see below), whose sum is σ = 364384604160. Its totient is φ = 127507840320.

The previous prime is 231132221311. The next prime is 231132221363. The reversal of 231132221313 is 313122231132.

231132221313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231132221313 - 2¹ = 231132221311 is a prime.

It is a super-3 number, since 3×231132221313³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (231132221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9590068 + ... + 9614138.

It is an arithmetic number, because the mean of its divisors is an integer number (11387018880).

Almost surely, 2^231132221313 is an apocalyptic number.

It is an amenable number.

231132221313 is a deficient number, since it is larger than the sum of its proper divisors (133252382847).

231132221313 is a wasteful number, since it uses less digits than its factorization.

231132221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39877.

The product of its digits is 1296, while the sum is 24.

Adding to 231132221313 its reverse (313122231132), we get a palindrome (544254452445).

The spelling of 231132221313 in words is "two hundred thirty-one billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred thirteen".