413403444312031 has 2 divisors, whose sum is σ = 413403444312032. Its totient is φ = 413403444312030.

The previous prime is 413403444312029. The next prime is 413403444312091. The reversal of 413403444312031 is 130213444304314.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413403444312031 - 2¹ = 413403444312029 is a prime.

It is a super-2 number, since 2×413403444312031² (a number of 30 digits) contains 22 as substring.

Together with 413403444312029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413403444312011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206701722156015 + 206701722156016.

It is an arithmetic number, because the mean of its divisors is an integer number (206701722156016).

Almost surely, 2^{413403444312031} is an apocalyptic number.

413403444312031 is a deficient number, since it is larger than the sum of its proper divisors (1).

413403444312031 is an equidigital number, since it uses as much as digits as its factorization.

413403444312031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 413403444312031 its reverse (130213444304314), we get a palindrome (543616888616345).

The spelling of 413403444312031 in words is "four hundred thirteen trillion, four hundred three billion, four hundred forty-four million, three hundred twelve thousand, thirty-one".