313132221121 has 16 divisors (see below), whose sum is σ = 326943364608. Its totient is φ = 299562336000.

The previous prime is 313132221091. The next prime is 313132221151. The reversal of 313132221121 is 121122231313.

It is an interprime number because it is at equal distance from previous prime (313132221091) and next prime (313132221151).

It is a cyclic number.

It is not a de Polignac number, because 313132221121 - 2¹⁵ = 313132188353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313132221092 and 313132221101.

It is not an unprimeable number, because it can be changed into a prime (313132221151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935465 + ... + 2091001.

It is an arithmetic number, because the mean of its divisors is an integer number (20433960288).

Almost surely, 2^313132221121 is an apocalyptic number.

313132221121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313132221121 is a deficient number, since it is larger than the sum of its proper divisors (13811143487).

313132221121 is a wasteful number, since it uses less digits than its factorization.

313132221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156312.

The product of its digits is 432, while the sum is 22.

Adding to 313132221121 its reverse (121122231313), we get a palindrome (434254452434).

The spelling of 313132221121 in words is "three hundred thirteen billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty-one".