1300400401 has 2 divisors, whose sum is σ = 1300400402. Its totient is φ = 1300400400.

The previous prime is 1300400399. The next prime is 1300400417. The reversal of 1300400401 is 1040040031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 694059025 + 606341376 = 26345^2 + 24624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300400401 - 2¹ = 1300400399 is a prime.

Together with 1300400399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1300400201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650200200 + 650200201.

It is an arithmetic number, because the mean of its divisors is an integer number (650200201).

Almost surely, 2^1300400401 is an apocalyptic number.

It is an amenable number.

1300400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300400401 is an equidigital number, since it uses as much as digits as its factorization.

1300400401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1300400401 is about 36061.0648899890. The cubic root of 1300400401 is about 1091.5049215084.

Adding to 1300400401 its reverse (1040040031), we get a palindrome (2340440432).

The spelling of 1300400401 in words is "one billion, three hundred million, four hundred thousand, four hundred one".