312121312131 has 16 divisors (see below), whose sum is σ = 418855739904. Its totient is φ = 206735082624.

The previous prime is 312121312117. The next prime is 312121312141. The reversal of 312121312131 is 131213121213.

It is not a de Polignac number, because 312121312131 - 2¹⁹ = 312120787843 is a prime.

It is a super-2 number, since 2×312121312131² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312121312098 and 312121312107.

It is not an unprimeable number, because it can be changed into a prime (312121312141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896331 + ... + 1194843.

It is an arithmetic number, because the mean of its divisors is an integer number (26178483744).

Almost surely, 2^312121312131 is an apocalyptic number.

312121312131 is a deficient number, since it is larger than the sum of its proper divisors (106734427773).

312121312131 is a wasteful number, since it uses less digits than its factorization.

312121312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300770.

The product of its digits is 216, while the sum is 21.

Adding to 312121312131 its reverse (131213121213), we get a palindrome (443334433344).

The spelling of 312121312131 in words is "three hundred twelve billion, one hundred twenty-one million, three hundred twelve thousand, one hundred thirty-one".