120131410104001 has 8 divisors (see below), whose sum is σ = 120176603947944. Its totient is φ = 120086217262080.

The previous prime is 120131410103989. The next prime is 120131410104023. The reversal of 120131410104001 is 100401014131021.

It can be written as a sum of positive squares in 4 ways, for example, as 11452369698225 + 108679040405776 = 3384135^2 + 10424924^2 .

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 120131410104001 - 2⁹ = 120131410103489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120131410104001.

It is not an unprimeable number, because it can be changed into a prime (120131410104301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312492961 + ... + 312877153.

It is an arithmetic number, because the mean of its divisors is an integer number (15022075493493).

Almost surely, 2^{120131410104001} is an apocalyptic number.

It is an amenable number.

120131410104001 is a deficient number, since it is larger than the sum of its proper divisors (45193843943).

120131410104001 is a wasteful number, since it uses less digits than its factorization.

120131410104001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501011.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 120131410104001 its reverse (100401014131021), we get a palindrome (220532424235022).

The spelling of 120131410104001 in words is "one hundred twenty trillion, one hundred thirty-one billion, four hundred ten million, one hundred four thousand, one".