13420751167 has 48 divisors (see below), whose sum is σ = 15388019712. Its totient is φ = 11650705920.

The previous prime is 13420751153. The next prime is 13420751219. The reversal of 13420751167 is 76115702431.

It is not a de Polignac number, because 13420751167 - 2¹¹ = 13420749119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420151167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47423008 + ... + 47423290.

It is an arithmetic number, because the mean of its divisors is an integer number (320583744).

Almost surely, 2^13420751167 is an apocalyptic number.

13420751167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13420751167 is a deficient number, since it is larger than the sum of its proper divisors (1967268545).

13420751167 is a wasteful number, since it uses less digits than its factorization.

13420751167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 13420751167 in words is "thirteen billion, four hundred twenty million, seven hundred fifty-one thousand, one hundred sixty-seven".