130440001120001 has 8 divisors (see below), whose sum is σ = 138242140643880. Its totient is φ = 122652216960768.

The previous prime is 130440001119907. The next prime is 130440001120043. The reversal of 130440001120001 is 100021100044031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38846985580225 + 91593015539776 = 6232735^2 + 9570424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130440001120001 - 2¹⁴ = 130440001103617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130440001120081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3588822446 + ... + 3588858791.

It is an arithmetic number, because the mean of its divisors is an integer number (17280267580485).

Almost surely, 2^{130440001120001} is an apocalyptic number.

It is an amenable number.

130440001120001 is a deficient number, since it is larger than the sum of its proper divisors (7802139523879).

130440001120001 is a wasteful number, since it uses less digits than its factorization.

130440001120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177682323.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 130440001120001 its reverse (100021100044031), we get a palindrome (230461101164032).

The spelling of 130440001120001 in words is "one hundred thirty trillion, four hundred forty billion, one million, one hundred twenty thousand, one".