13132165000350 has 96 divisors (see below), whose sum is σ = 35746442331264. Its totient is φ = 3164024073600.

The previous prime is 13132165000349. The next prime is 13132165000351. The reversal of 13132165000350 is 5300056123131.

It is an interprime number because it is at equal distance from previous prime (13132165000349) and next prime (13132165000351).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132165000351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24144817 + ... + 24682716.

It is an arithmetic number, because the mean of its divisors is an integer number (372358774284).

Almost surely, 2^{13132165000350} is an apocalyptic number.

13132165000350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13132165000350 is an abundant number, since it is smaller than the sum of its proper divisors (22614277330914).

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

13132165000350 is a wasteful number, since it uses less digits than its factorization.

13132165000350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48827722 (or 48827717 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 13132165000350 in words is "thirteen trillion, one hundred thirty-two billion, one hundred sixty-five million, three hundred fifty", and thus it is an aban number.