101334413005 has 24 divisors (see below), whose sum is σ = 141468881400. Its totient is φ = 69479424000.

The previous prime is 101334412999. The next prime is 101334413029. The reversal of 101334413005 is 500314433101.

It can be written as a sum of positive squares in 4 ways, for example, as 3248316036 + 98086096969 = 56994^2 + 313187^2 .

It is not a de Polignac number, because 101334413005 - 2¹⁷ = 101334281933 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 3907321 + ... + 3933169.

It is an arithmetic number, because the mean of its divisors is an integer number (5894536725).

Almost surely, 2^101334413005 is an apocalyptic number.

It is an amenable number.

101334413005 is a deficient number, since it is larger than the sum of its proper divisors (40134468395).

101334413005 is a wasteful number, since it uses less digits than its factorization.

101334413005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41869 (or 41862 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 101334413005 its reverse (500314433101), we get a palindrome (601648846106).

The spelling of 101334413005 in words is "one hundred one billion, three hundred thirty-four million, four hundred thirteen thousand, five".