31224400442213 has 32 divisors (see below), whose sum is σ = 35720864524800. Its totient is φ = 27039870144000.

The previous prime is 31224400442197. The next prime is 31224400442267.

It is a happy number.

31224400442213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31224400442213 - 2⁴ = 31224400442197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31224400442213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31224400442293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7174463 + ... + 10673411.

It is an arithmetic number, because the mean of its divisors is an integer number (1116277016400).

Almost surely, 2^{31224400442213} is an apocalyptic number.

It is an amenable number.

31224400442213 is a deficient number, since it is larger than the sum of its proper divisors (4496464082587).

31224400442213 is a wasteful number, since it uses less digits than its factorization.

31224400442213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499469.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 31224400 and 442213, that added together give a palindrome (31666613).

The spelling of 31224400442213 in words is "thirty-one trillion, two hundred twenty-four billion, four hundred million, four hundred forty-two thousand, two hundred thirteen".