980101414004113 has 2 divisors, whose sum is σ = 980101414004114. Its totient is φ = 980101414004112.

The previous prime is 980101414004107. The next prime is 980101414004147. The reversal of 980101414004113 is 311400414101089.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 613103753508624 + 366997660495489 = 24760932^2 + 19157183^2 .

It is an emirp because it is prime and its reverse (311400414101089) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-980101414004113 is a prime.

It is not a weakly prime, because it can be changed into another prime (980101414004173) 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 as a sum of consecutive naturals, namely, 490050707002056 + 490050707002057.

It is an arithmetic number, because the mean of its divisors is an integer number (490050707002057).

Almost surely, 2^{980101414004113} is an apocalyptic number.

It is an amenable number.

980101414004113 is a deficient number, since it is larger than the sum of its proper divisors (1).

980101414004113 is an equidigital number, since it uses as much as digits as its factorization.

980101414004113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 980101414004113 in words is "nine hundred eighty trillion, one hundred one billion, four hundred fourteen million, four thousand, one hundred thirteen".