101414240413 has 4 divisors (see below), whose sum is σ = 101444310268. Its totient is φ = 101384170560.

The previous prime is 101414240399. The next prime is 101414240443. The reversal of 101414240413 is 314042414101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 314042414101 = 13 ⋅24157108777.

It can be written as a sum of positive squares in 2 ways, for example, as 80816824089 + 20597416324 = 284283^2 + 143518^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101414240413 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 (101414240443) 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 3 ways as a sum of consecutive naturals, for example, 15029868 + ... + 15036613.

It is an arithmetic number, because the mean of its divisors is an integer number (25361077567).

Almost surely, 2^101414240413 is an apocalyptic number.

It is an amenable number.

101414240413 is a deficient number, since it is larger than the sum of its proper divisors (30069855).

101414240413 is an equidigital number, since it uses as much as digits as its factorization.

101414240413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30069854.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 101414240413 its reverse (314042414101), we get a palindrome (415456654514).

The spelling of 101414240413 in words is "one hundred one billion, four hundred fourteen million, two hundred forty thousand, four hundred thirteen".