31332144123313 has 8 divisors (see below), whose sum is σ = 34690677890400. Its totient is φ = 28058636527680.

The previous prime is 31332144123283. The next prime is 31332144123347.

31332144123313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 31332144123313 - 2⁵ = 31332144123281 is a prime.

It is a super-2 number, since 2×31332144123313² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31332144123383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21256542088 + ... + 21256543561.

It is an arithmetic number, because the mean of its divisors is an integer number (4336334736300).

Almost surely, 2^{31332144123313} is an apocalyptic number.

It is an amenable number.

31332144123313 is a deficient number, since it is larger than the sum of its proper divisors (3358533767087).

31332144123313 is a wasteful number, since it uses less digits than its factorization.

31332144123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42513085727.

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 3133214 and 4123313, that added together give a palindrome (7256527).

The spelling of 31332144123313 in words is "thirty-one trillion, three hundred thirty-two billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred thirteen".