13330412130 has 256 divisors, whose sum is σ = 40310784000. Its totient is φ = 2751909888.

The previous prime is 13330412111. The next prime is 13330412171. The reversal of 13330412130 is 3121403331.

13330412130 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 2×13330412130² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13330412097 and 13330412106.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8892121 + ... + 8893619.

It is an arithmetic number, because the mean of its divisors is an integer number (157464000).

Almost surely, 2^13330412130 is an apocalyptic number.

13330412130 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 13330412130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20155392000).

13330412130 is an abundant number, since it is smaller than the sum of its proper divisors (26980371870).

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

13330412130 is a wasteful number, since it uses less digits than its factorization.

13330412130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13330412130 its reverse (3121403331), we get a palindrome (16451815461).

The spelling of 13330412130 in words is "thirteen billion, three hundred thirty million, four hundred twelve thousand, one hundred thirty".