13123167 has 32 divisors (see below), whose sum is σ = 20217600. Its totient is φ = 7515648.

The previous prime is 13123147. The next prime is 13123169. The reversal of 13123167 is 76132131.

It is not a de Polignac number, because 13123167 - 2⁷ = 13123039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27868 + ... + 28334.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 2^13123167 is an apocalyptic number.

13123167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13123167 is the 2958-th pentagonal number.

13123167 is a deficient number, since it is larger than the sum of its proper divisors (7094433).

13123167 is a wasteful number, since it uses less digits than its factorization.

13123167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535.

The product of its digits is 756, while the sum is 24.

The square root of 13123167 is about 3622.5911996801. The cubic root of 13123167 is about 235.8737175102.

Adding to 13123167 its reverse (76132131), we get a palindrome (89255298).

The spelling of 13123167 in words is "thirteen million, one hundred twenty-three thousand, one hundred sixty-seven".