1305461401133 has 2 divisors, whose sum is σ = 1305461401134. Its totient is φ = 1305461401132.

The previous prime is 1305461401103. The next prime is 1305461401141. The reversal of 1305461401133 is 3311041645031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 886162415044 + 419298986089 = 941362^2 + 647533^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305461401133 - 2¹⁴ = 1305461384749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1305461401133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305461401103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652730700566 + 652730700567.

It is an arithmetic number, because the mean of its divisors is an integer number (652730700567).

Almost surely, 2^{1305461401133} is an apocalyptic number.

It is an amenable number.

1305461401133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305461401133 is an equidigital number, since it uses as much as digits as its factorization.

1305461401133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 1305461401133 in words is "one trillion, three hundred five billion, four hundred sixty-one million, four hundred one thousand, one hundred thirty-three".