13130433331344 has 120 divisors (see below), whose sum is σ = 41998070354240. Its totient is φ = 3751416094464.

The previous prime is 13130433331303. The next prime is 13130433331349. The reversal of 13130433331344 is 44313333403131.

13130433331344 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 4 + 333 + 313 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13130433331299 and 13130433331308.

It is not an unprimeable number, because it can be changed into a prime (13130433331349) 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 23 ways as a sum of consecutive naturals, for example, 29359842 + ... + 29803710.

Almost surely, 2^{13130433331344} is an apocalyptic number.

13130433331344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13130433331344 is an abundant number, since it is smaller than the sum of its proper divisors (28867637022896).

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

13130433331344 is a wasteful number, since it uses less digits than its factorization.

13130433331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473237 (or 473228 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 13130433331344 its reverse (44313333403131), we get a palindrome (57443766734475).

The spelling of 13130433331344 in words is "thirteen trillion, one hundred thirty billion, four hundred thirty-three million, three hundred thirty-one thousand, three hundred forty-four".