101414413 has 4 divisors (see below), whose sum is σ = 101662780. Its totient is φ = 101166048.

The previous prime is 101414377. The next prime is 101414431. The reversal of 101414413 is 314414101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 314414101 = 1367 ⋅230003.

It can be written as a sum of positive squares in 2 ways, for example, as 90212004 + 11202409 = 9498^2 + 3347^2 .

It is a cyclic number.

It is not a de Polignac number, because 101414413 - 2⁹ = 101413901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101417413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123570 + ... + 124387.

It is an arithmetic number, because the mean of its divisors is an integer number (25415695).

Almost surely, 2^101414413 is an apocalyptic number.

It is an amenable number.

101414413 is a deficient number, since it is larger than the sum of its proper divisors (248367).

101414413 is an equidigital number, since it uses as much as digits as its factorization.

101414413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248366.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 101414413 is about 10070.4723325175. The cubic root of 101414413 is about 466.3370206561.

Adding to 101414413 its reverse (314414101), we get a palindrome (415828514).

The spelling of 101414413 in words is "one hundred one million, four hundred fourteen thousand, four hundred thirteen".