130301444442131 has 32 divisors (see below), whose sum is σ = 135997283473920. Its totient is φ = 124748939750400.

The previous prime is 130301444442083. The next prime is 130301444442133. The reversal of 130301444442131 is 131244444103031.

It is a cyclic number.

It is not a de Polignac number, because 130301444442131 - 2¹⁸ = 130301444179987 is a prime.

It is a super-4 number, since 4×130301444442131⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130301444442091 and 130301444442100.

It is not an unprimeable number, because it can be changed into a prime (130301444442133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598337141 + ... + 598554873.

It is an arithmetic number, because the mean of its divisors is an integer number (4249915108560).

Almost surely, 2^{130301444442131} is an apocalyptic number.

130301444442131 is a deficient number, since it is larger than the sum of its proper divisors (5695839031789).

130301444442131 is a wasteful number, since it uses less digits than its factorization.

130301444442131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218987.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 130301444442131 its reverse (131244444103031), we get a palindrome (261545888545162).

The spelling of 130301444442131 in words is "one hundred thirty trillion, three hundred one billion, four hundred forty-four million, four hundred forty-two thousand, one hundred thirty-one".