414013121003 has 2 divisors, whose sum is σ = 414013121004. Its totient is φ = 414013121002.

The previous prime is 414013120999. The next prime is 414013121057. The reversal of 414013121003 is 300121310414.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414013121003 - 2² = 414013120999 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (414013121503) 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, 207006560501 + 207006560502.

It is an arithmetic number, because the mean of its divisors is an integer number (207006560502).

Almost surely, 2^414013121003 is an apocalyptic number.

414013121003 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013121003 is an equidigital number, since it uses as much as digits as its factorization.

414013121003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 414013121003 its reverse (300121310414), we get a palindrome (714134431417).

The spelling of 414013121003 in words is "four hundred fourteen billion, thirteen million, one hundred twenty-one thousand, three".