13130626848 has 96 divisors (see below), whose sum is σ = 35765678592. Its totient is φ = 4213555200.

The previous prime is 13130626841. The next prime is 13130626867. The reversal of 13130626848 is 84862603131.

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

It is a super-3 number, since 3×13130626848³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13130626841) 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, 562938 + ... + 585798.

It is an arithmetic number, because the mean of its divisors is an integer number (372559152).

Almost surely, 2^13130626848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130626848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882839296).

13130626848 is an abundant number, since it is smaller than the sum of its proper divisors (22635051744).

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

13130626848 is a wasteful number, since it uses less digits than its factorization.

13130626848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23098 (or 23090 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13130626848 in words is "thirteen billion, one hundred thirty million, six hundred twenty-six thousand, eight hundred forty-eight".