401300129 has 2 divisors, whose sum is σ = 401300130. Its totient is φ = 401300128.

The previous prime is 401300099. The next prime is 401300131. The reversal of 401300129 is 921003104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 332077729 + 69222400 = 18223^2 + 8320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401300129 is a prime.

It is a super-2 number, since 2×401300129² = 322083587070833282, which contains 22 as substring.

Together with 401300131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401300129.

It is not a weakly prime, because it can be changed into another prime (401303129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200650064 + 200650065.

It is an arithmetic number, because the mean of its divisors is an integer number (200650065).

Almost surely, 2^401300129 is an apocalyptic number.

It is an amenable number.

401300129 is a deficient number, since it is larger than the sum of its proper divisors (1).

401300129 is an equidigital number, since it uses as much as digits as its factorization.

401300129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 401300129 is about 20032.4768563450. The cubic root of 401300129 is about 737.6037224222.

The spelling of 401300129 in words is "four hundred one million, three hundred thousand, one hundred twenty-nine".