13130220312 has 256 divisors, whose sum is σ = 41963443200. Its totient is φ = 3765104640.

The previous prime is 13130220287. The next prime is 13130220329. The reversal of 13130220312 is 21302203131.

13130220312 is a `hidden beast` number, since 1 + 3 + 130 + 220 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5299618 + ... + 5302094.

It is an arithmetic number, because the mean of its divisors is an integer number (163919700).

Almost surely, 2^13130220312 is an apocalyptic number.

13130220312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981721600).

13130220312 is an abundant number, since it is smaller than the sum of its proper divisors (28833222888).

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

13130220312 is a wasteful number, since it uses less digits than its factorization.

13130220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13130220312 its reverse (21302203131), we get a palindrome (34432423443).

It can be divided in two parts, 1 and 3130220312, that added together give a palindrome (3130220313).

The spelling of 13130220312 in words is "thirteen billion, one hundred thirty million, two hundred twenty thousand, three hundred twelve".