101332414341 has 20 divisors (see below), whose sum is σ = 155065145004. Its totient is φ = 65907259200.

The previous prime is 101332414319. The next prime is 101332414363. The reversal of 101332414341 is 143414233101.

It is an interprime number because it is at equal distance from previous prime (101332414319) and next prime (101332414363).

It can be written as a sum of positive squares in 2 ways, for example, as 40031606241 + 61300808100 = 200079^2 + 247590^2 .

It is not a de Polignac number, because 101332414341 - 2⁷ = 101332414213 is a prime.

It is a super-3 number, since 3×101332414341³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332414441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15252990 + ... + 15259631.

Almost surely, 2^101332414341 is an apocalyptic number.

It is an amenable number.

101332414341 is a deficient number, since it is larger than the sum of its proper divisors (53732730663).

101332414341 is an equidigital number, since it uses as much as digits as its factorization.

101332414341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30512674 (or 30512665 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101332414341 its reverse (143414233101), we get a palindrome (244746647442).

The spelling of 101332414341 in words is "one hundred one billion, three hundred thirty-two million, four hundred fourteen thousand, three hundred forty-one".