130001241312 has 72 divisors (see below), whose sum is σ = 369755187984. Its totient is φ = 43326226944.

The previous prime is 130001241289. The next prime is 130001241313. The reversal of 130001241312 is 213142100031.

130001241312 is a `hidden beast` number, since 1 + 300 + 0 + 12 + 41 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130001241313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1767708 + ... + 1839780.

It is an arithmetic number, because the mean of its divisors is an integer number (5135488722).

Almost surely, 2^130001241312 is an apocalyptic number.

130001241312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130001241312 is an abundant number, since it is smaller than the sum of its proper divisors (239753946672).

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

130001241312 is a wasteful number, since it uses less digits than its factorization.

130001241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78352 (or 78341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130001241312 its reverse (213142100031), we get a palindrome (343143341343).

The spelling of 130001241312 in words is "one hundred thirty billion, one million, two hundred forty-one thousand, three hundred twelve".