13133005152 has 96 divisors (see below), whose sum is σ = 36018017280. Its totient is φ = 4182097920.

The previous prime is 13133005147. The next prime is 13133005153. The reversal of 13133005152 is 25150033131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133005153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008224 + ... + 2014752.

It is an arithmetic number, because the mean of its divisors is an integer number (375187680).

Almost surely, 2^13133005152 is an apocalyptic number.

13133005152 is a gapful number since it is divisible by the number (12) 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 13133005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009008640).

13133005152 is an abundant number, since it is smaller than the sum of its proper divisors (22885012128).

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

13133005152 is a wasteful number, since it uses less digits than its factorization.

13133005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13133005152 its reverse (25150033131), we get a palindrome (38283038283).

The spelling of 13133005152 in words is "thirteen billion, one hundred thirty-three million, five thousand, one hundred fifty-two".