13285933500 has 576 divisors, whose sum is σ = 49333100544. Its totient is φ = 2765952000.

The previous prime is 13285933499. The next prime is 13285933501. The reversal of 13285933500 is 533958231.

It is an interprime number because it is at equal distance from previous prime (13285933499) and next prime (13285933501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13285933501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 428578485 + ... + 428578515.

It is an arithmetic number, because the mean of its divisors is an integer number (85647744).

Almost surely, 2^13285933500 is an apocalyptic number.

13285933500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13285933500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24666550272).

13285933500 is an abundant number, since it is smaller than the sum of its proper divisors (36047167044).

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

13285933500 is an equidigital number, since it uses as much as digits as its factorization.

13285933500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 13285933500 in words is "thirteen billion, two hundred eighty-five million, nine hundred thirty-three thousand, five hundred".