31344233244313 has 24 divisors (see below), whose sum is σ = 34798507292808. Its totient is φ = 28208869920000.

The previous prime is 31344233244307. The next prime is 31344233244361.

31344233244313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 14087088238729 + 17257145005584 = 3753277^2 + 4154172^2 .

It is not a de Polignac number, because 31344233244313 - 2²¹ = 31344231147161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31344233244113) 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 23 ways as a sum of consecutive naturals, for example, 93604603 + ... + 93938863.

It is an arithmetic number, because the mean of its divisors is an integer number (1449937803867).

Almost surely, 2^{31344233244313} is an apocalyptic number.

It is an amenable number.

31344233244313 is a deficient number, since it is larger than the sum of its proper divisors (3454274048495).

31344233244313 is a wasteful number, since it uses less digits than its factorization.

31344233244313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342057 (or 342046 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 3134423 and 3244313, that added together give a palindrome (6378736).

The spelling of 31344233244313 in words is "thirty-one trillion, three hundred forty-four billion, two hundred thirty-three million, two hundred forty-four thousand, three hundred thirteen".