414314013031 has 2 divisors, whose sum is σ = 414314013032. Its totient is φ = 414314013030.

The previous prime is 414314012969. The next prime is 414314013107. The reversal of 414314013031 is 130310413414.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414314013031 - 2²¹ = 414311915879 is a prime.

It is a super-2 number, since 2×414314013031² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414314012987 and 414314013005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414314013731) 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, 207157006515 + 207157006516.

It is an arithmetic number, because the mean of its divisors is an integer number (207157006516).

Almost surely, 2^414314013031 is an apocalyptic number.

414314013031 is a deficient number, since it is larger than the sum of its proper divisors (1).

414314013031 is an equidigital number, since it uses as much as digits as its factorization.

414314013031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 414314013031 its reverse (130310413414), we get a palindrome (544624426445).

The spelling of 414314013031 in words is "four hundred fourteen billion, three hundred fourteen million, thirteen thousand, thirty-one".