414031030101 has 24 divisors (see below), whose sum is σ = 659026143776. Its totient is φ = 248863013280.

The previous prime is 414031030079. The next prime is 414031030103. The reversal of 414031030101 is 101030130414.

It is not a de Polignac number, because 414031030101 - 2⁹ = 414031029589 is a prime.

It is a super-3 number, since 3×414031030101³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414031030103) 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 in 23 ways as a sum of consecutive naturals, for example, 41142955 + ... + 41153016.

Almost surely, 2^414031030101 is an apocalyptic number.

It is an amenable number.

414031030101 is a deficient number, since it is larger than the sum of its proper divisors (244995113675).

414031030101 is a wasteful number, since it uses less digits than its factorization.

414031030101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82296033 (or 82296030 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 414031030101 its reverse (101030130414), we get a palindrome (515061160515).

The spelling of 414031030101 in words is "four hundred fourteen billion, thirty-one million, thirty thousand, one hundred one".