10414101013249 has 2 divisors, whose sum is σ = 10414101013250. Its totient is φ = 10414101013248.

The previous prime is 10414101013237. The next prime is 10414101013307. The reversal of 10414101013249 is 94231010141401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10413916243600 + 184769649 = 3227060^2 + 13593^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414101013249 - 2¹³ = 10414101005057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10414101013249.

It is not a weakly prime, because it can be changed into another prime (10414101013549) 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 as a sum of consecutive naturals, namely, 5207050506624 + 5207050506625.

It is an arithmetic number, because the mean of its divisors is an integer number (5207050506625).

Almost surely, 2^{10414101013249} is an apocalyptic number.

It is an amenable number.

10414101013249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414101013249 is an equidigital number, since it uses as much as digits as its factorization.

10414101013249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 10414101013249 in words is "ten trillion, four hundred fourteen billion, one hundred one million, thirteen thousand, two hundred forty-nine".