130001134431301 has 12 divisors (see below), whose sum is σ = 151293898630380. Its totient is φ = 111379372816320.

The previous prime is 130001134431269. The next prime is 130001134431353. The reversal of 130001134431301 is 103134431100031.

It can be written as a sum of positive squares in 2 ways, for example, as 31644843890625 + 98356290540676 = 5625375^2 + 9917474^2 .

It is not a de Polignac number, because 130001134431301 - 2⁵ = 130001134431269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130001134431601) 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, 597163656 + ... + 597381313.

It is an arithmetic number, because the mean of its divisors is an integer number (12607824885865).

Almost surely, 2^{130001134431301} is an apocalyptic number.

It is an amenable number.

130001134431301 is a deficient number, since it is larger than the sum of its proper divisors (21292764199079).

130001134431301 is a wasteful number, since it uses less digits than its factorization.

130001134431301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194547204 (or 1194547197 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 130001134431301 its reverse (103134431100031), we get a palindrome (233135565531332).

The spelling of 130001134431301 in words is "one hundred thirty trillion, one billion, one hundred thirty-four million, four hundred thirty-one thousand, three hundred one".