13130403132330 has 384 divisors, whose sum is σ = 40951411937280. Its totient is φ = 2881364935680.

The previous prime is 13130403132323. The next prime is 13130403132337. The reversal of 13130403132330 is 3323130403131.

13130403132330 is a `hidden beast` number, since 1 + 3 + 1 + 304 + 0 + 3 + 1 + 323 + 30 = 666.

13130403132330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13130403132323) and next prime (13130403132337).

It is a junction number, because it is equal to n+sod(n) for n = 13130403132294 and 13130403132303.

It is not an unprimeable number, because it can be changed into a prime (13130403132337) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 412280467 + ... + 412312313.

It is an arithmetic number, because the mean of its divisors is an integer number (106644301920).

Almost surely, 2^{13130403132330} is an apocalyptic number.

13130403132330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130403132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20475705968640).

13130403132330 is an abundant number, since it is smaller than the sum of its proper divisors (27821008804950).

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

13130403132330 is a wasteful number, since it uses less digits than its factorization.

13130403132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32866 (or 32863 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13130403132330 its reverse (3323130403131), we get a palindrome (16453533535461).

The spelling of 13130403132330 in words is "thirteen trillion, one hundred thirty billion, four hundred three million, one hundred thirty-two thousand, three hundred thirty".