31244311344213 has 24 divisors (see below), whose sum is σ = 49693586114016. Its totient is φ = 18758974802400.

The previous prime is 31244311344167. The next prime is 31244311344269.

31244311344213 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 431 + 1 + 3 + 4 + 4 + 213 = 666.

31244311344213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31244311344213 - 2³⁰ = 31243237602389 is a prime.

It is a super-3 number, since 3×31244311344213³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31244311344713) 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 23 ways as a sum of consecutive naturals, for example, 1474751578 + ... + 1474772763.

It is an arithmetic number, because the mean of its divisors is an integer number (2070566088084).

Almost surely, 2^{31244311344213} is an apocalyptic number.

31244311344213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31244311344213 is a deficient number, since it is larger than the sum of its proper divisors (18449274769803).

31244311344213 is a wasteful number, since it uses less digits than its factorization.

31244311344213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949524465 (or 2949524462 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3124431 and 1344213, that added together give a palindrome (4468644).

The spelling of 31244311344213 in words is "thirty-one trillion, two hundred forty-four billion, three hundred eleven million, three hundred forty-four thousand, two hundred thirteen".