102513167 has 2 divisors, whose sum is σ = 102513168. Its totient is φ = 102513166.

The previous prime is 102513143. The next prime is 102513193. The reversal of 102513167 is 761315201.

It is an a-pointer prime, because the next prime (102513193) can be obtained adding 102513167 to its sum of digits (26).

It is a weak prime.

It is an emirp because it is prime and its reverse (761315201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102513167 - 2⁸ = 102512911 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102513107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51256583 + 51256584.

It is an arithmetic number, because the mean of its divisors is an integer number (51256584).

Almost surely, 2^102513167 is an apocalyptic number.

102513167 is a deficient number, since it is larger than the sum of its proper divisors (1).

102513167 is an equidigital number, since it uses as much as digits as its factorization.

102513167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 102513167 is about 10124.8786165563. The cubic root of 102513167 is about 468.0151196201.

Adding to 102513167 its reverse (761315201), we get a palindrome (863828368).

The spelling of 102513167 in words is "one hundred two million, five hundred thirteen thousand, one hundred sixty-seven".