31314442102401 has 16 divisors (see below), whose sum is σ = 42643578841344. Its totient is φ = 20430854974464.

The previous prime is 31314442102397. The next prime is 31314442102423. The reversal of 31314442102401 is 10420124441313.

It is a happy number.

It is not a de Polignac number, because 31314442102401 - 2² = 31314442102397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31314442102441) 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 15 ways as a sum of consecutive naturals, for example, 4574326 + ... + 9140751.

It is an arithmetic number, because the mean of its divisors is an integer number (2665223677584).

Almost surely, 2^{31314442102401} is an apocalyptic number.

It is an amenable number.

31314442102401 is a deficient number, since it is larger than the sum of its proper divisors (11329136738943).

31314442102401 is a wasteful number, since it uses less digits than its factorization.

31314442102401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731320.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 31314442102401 its reverse (10420124441313), we get a palindrome (41734566543714).

The spelling of 31314442102401 in words is "thirty-one trillion, three hundred fourteen billion, four hundred forty-two million, one hundred two thousand, four hundred one".