1014431312401 has 16 divisors (see below), whose sum is σ = 1093927383360. Its totient is φ = 935145034560.

The previous prime is 1014431312381. The next prime is 1014431312417. The reversal of 1014431312401 is 1042131344101.

It is a cyclic number.

It is not a de Polignac number, because 1014431312401 - 2⁹ = 1014431311889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014431312491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33439026 + ... + 33469348.

It is an arithmetic number, because the mean of its divisors is an integer number (68370461460).

Almost surely, 2^{1014431312401} is an apocalyptic number.

It is an amenable number.

1014431312401 is a deficient number, since it is larger than the sum of its proper divisors (79496070959).

1014431312401 is a wasteful number, since it uses less digits than its factorization.

1014431312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33696.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1014431312401 its reverse (1042131344101), we get a palindrome (2056562656502).

The spelling of 1014431312401 in words is "one trillion, fourteen billion, four hundred thirty-one million, three hundred twelve thousand, four hundred one".