13771058101 has 2 divisors, whose sum is σ = 13771058102. Its totient is φ = 13771058100.

The previous prime is 13771058099. The next prime is 13771058137. The reversal of 13771058101 is 10185017731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8954836900 + 4816221201 = 94630^2 + 69399^2 .

It is a cyclic number.

It is not a de Polignac number, because 13771058101 - 2¹ = 13771058099 is a prime.

It is a super-2 number, since 2×13771058101² (a number of 21 digits) contains 22 as substring.

Together with 13771058099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13771058401) 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, 6885529050 + 6885529051.

It is an arithmetic number, because the mean of its divisors is an integer number (6885529051).

Almost surely, 2^13771058101 is an apocalyptic number.

It is an amenable number.

13771058101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13771058101 is an equidigital number, since it uses as much as digits as its factorization.

13771058101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 34.

The spelling of 13771058101 in words is "thirteen billion, seven hundred seventy-one million, fifty-eight thousand, one hundred one".