13106164302 has 192 divisors, whose sum is σ = 36456376320. Its totient is φ = 3304468800.

The previous prime is 13106164301. The next prime is 13106164327. The reversal of 13106164302 is 20346160131.

13106164302 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 616 + 43 + 0 + 2 = 666.

It is a super-2 number, since 2×13106164302² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106164301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6786277 + ... + 6788207.

It is an arithmetic number, because the mean of its divisors is an integer number (189876960).

Almost surely, 2^13106164302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106164302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228188160).

13106164302 is an abundant number, since it is smaller than the sum of its proper divisors (23350212018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13106164302 is a wasteful number, since it uses less digits than its factorization.

13106164302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13106164302 in words is "thirteen billion, one hundred six million, one hundred sixty-four thousand, three hundred two".