13135300152 has 64 divisors (see below), whose sum is σ = 35892151680. Its totient is φ = 3981301632.

The previous prime is 13135300151. The next prime is 13135300273. The reversal of 13135300152 is 25100353131.

13135300152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13135300152² (a number of 21 digits) contains 22 as substring.

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 (13135300151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293278 + ... + 335085.

It is an arithmetic number, because the mean of its divisors is an integer number (560814870).

Almost surely, 2^13135300152 is an apocalyptic number.

13135300152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13135300152 is an abundant number, since it is smaller than the sum of its proper divisors (22756851528).

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

13135300152 is a wasteful number, since it uses less digits than its factorization.

13135300152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628452 (or 628448 counting only the distinct ones).

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

Adding to 13135300152 its reverse (25100353131), we get a palindrome (38235653283).

The spelling of 13135300152 in words is "thirteen billion, one hundred thirty-five million, three hundred thousand, one hundred fifty-two".