125320313441 has 2 divisors, whose sum is σ = 125320313442. Its totient is φ = 125320313440.

The previous prime is 125320313429. The next prime is 125320313527. The reversal of 125320313441 is 144313023521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82016368225 + 43303945216 = 286385^2 + 208096^2 .

It is a cyclic number.

It is not a de Polignac number, because 125320313441 - 2¹⁰ = 125320312417 is a prime.

It is not a weakly prime, because it can be changed into another prime (125320316441) 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 as a sum of consecutive naturals, namely, 62660156720 + 62660156721.

It is an arithmetic number, because the mean of its divisors is an integer number (62660156721).

Almost surely, 2^125320313441 is an apocalyptic number.

It is an amenable number.

125320313441 is a deficient number, since it is larger than the sum of its proper divisors (1).

125320313441 is an equidigital number, since it uses as much as digits as its factorization.

125320313441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 125320313441 its reverse (144313023521), we get a palindrome (269633336962).

The spelling of 125320313441 in words is "one hundred twenty-five billion, three hundred twenty million, three hundred thirteen thousand, four hundred forty-one".