167013101 has 2 divisors, whose sum is σ = 167013102. Its totient is φ = 167013100.

The previous prime is 167013073. The next prime is 167013103. The reversal of 167013101 is 101310761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150651076 + 16362025 = 12274^2 + 4045^2 .

It is an emirp because it is prime and its reverse (101310761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167013101 - 2⁶ = 167013037 is a prime.

Together with 167013103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (167013103) 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 as a sum of consecutive naturals, namely, 83506550 + 83506551.

It is an arithmetic number, because the mean of its divisors is an integer number (83506551).

Almost surely, 2^167013101 is an apocalyptic number.

167013101 is the 5780-th centered decagonal number.

It is an amenable number.

167013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

167013101 is an equidigital number, since it uses as much as digits as its factorization.

167013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 167013101 is about 12923.3548662876. The cubic root of 167013101 is about 550.7022445844.

Adding to 167013101 its reverse (101310761), we get a palindrome (268323862).

The spelling of 167013101 in words is "one hundred sixty-seven million, thirteen thousand, one hundred one".