13130330241312 has 96 divisors (see below), whose sum is σ = 40549549320000. Its totient is φ = 4119319286784.

The previous prime is 13130330241311. The next prime is 13130330241341. The reversal of 13130330241312 is 21314203303131.

13130330241312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 3 + 302 + 41 + 312 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (13130330241311) 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, 446960062 + ... + 446989437.

It is an arithmetic number, because the mean of its divisors is an integer number (422391138750).

Almost surely, 2^{13130330241312} is an apocalyptic number.

13130330241312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13130330241312 is an abundant number, since it is smaller than the sum of its proper divisors (27419219078688).

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

13130330241312 is a wasteful number, since it uses less digits than its factorization.

13130330241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893949535 (or 893949521 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13130330241312 its reverse (21314203303131), we get a palindrome (34444533544443).

The spelling of 13130330241312 in words is "thirteen trillion, one hundred thirty billion, three hundred thirty million, two hundred forty-one thousand, three hundred twelve".