1300948327121 has 8 divisors (see below), whose sum is σ = 1301431755624. Its totient is φ = 1300464990720.

The previous prime is 1300948327117. The next prime is 1300948327169. The reversal of 1300948327121 is 1217238490031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 851292249025 + 449656078096 = 922655^2 + 670564^2 .

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 1300948327121 - 2² = 1300948327117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1300948321121) 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, 40194881 + ... + 40227233.

It is an arithmetic number, because the mean of its divisors is an integer number (162678969453).

Almost surely, 2^{1300948327121} is an apocalyptic number.

It is an amenable number.

1300948327121 is a deficient number, since it is larger than the sum of its proper divisors (483428503).

1300948327121 is an equidigital number, since it uses as much as digits as its factorization.

1300948327121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46051.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 1300948327121 in words is "one trillion, three hundred billion, nine hundred forty-eight million, three hundred twenty-seven thousand, one hundred twenty-one".