120031000130041 has 128 divisors (see below), whose sum is σ = 172060572708864. Its totient is φ = 80583984414720.

The previous prime is 120031000130029. The next prime is 120031000130051. The reversal of 120031000130041 is 140031000130021.

It is a cyclic number.

It is not a de Polignac number, because 120031000130041 - 2¹⁷ = 120030999998969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120031000129997 and 120031000130024.

It is not an unprimeable number, because it can be changed into a prime (120031000130021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 992694310 + ... + 992815216.

It is an arithmetic number, because the mean of its divisors is an integer number (1344223224288).

Almost surely, 2^{120031000130041} is an apocalyptic number.

120031000130041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120031000130041 is a deficient number, since it is larger than the sum of its proper divisors (52029572578823).

120031000130041 is a wasteful number, since it uses less digits than its factorization.

120031000130041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121439.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120031000130041 its reverse (140031000130021), we get a palindrome (260062000260062).

The spelling of 120031000130041 in words is "one hundred twenty trillion, thirty-one billion, one hundred thirty thousand, forty-one".