413023122450131 has 2 divisors, whose sum is σ = 413023122450132. Its totient is φ = 413023122450130.

The previous prime is 413023122450101. The next prime is 413023122450163. The reversal of 413023122450131 is 131054221320314.

It is a happy number.

It is an a-pointer prime, because the next prime (413023122450163) can be obtained adding 413023122450131 to its sum of digits (32).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413023122450131 - 2¹⁰ = 413023122449107 is a prime.

It is a super-2 number, since 2×413023122450131² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413023122450101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206511561225065 + 206511561225066.

It is an arithmetic number, because the mean of its divisors is an integer number (206511561225066).

Almost surely, 2^{413023122450131} is an apocalyptic number.

413023122450131 is a deficient number, since it is larger than the sum of its proper divisors (1).

413023122450131 is an equidigital number, since it uses as much as digits as its factorization.

413023122450131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 413023122450131 its reverse (131054221320314), we get a palindrome (544077343770445).

The spelling of 413023122450131 in words is "four hundred thirteen trillion, twenty-three billion, one hundred twenty-two million, four hundred fifty thousand, one hundred thirty-one".