101342414133 has 12 divisors (see below), whose sum is σ = 146387424768. Its totient is φ = 67559792040.

The previous prime is 101342414093. The next prime is 101342414167. The reversal of 101342414133 is 331414243101.

101342414133 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 241 + 413 + 3 = 666.

It is not a de Polignac number, because 101342414133 - 2⁸ = 101342413877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101342414097 and 101342414106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101342414333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260766 + ... + 520272.

It is an arithmetic number, because the mean of its divisors is an integer number (12198952064).

Almost surely, 2^101342414133 is an apocalyptic number.

It is an amenable number.

101342414133 is a deficient number, since it is larger than the sum of its proper divisors (45045010635).

101342414133 is a wasteful number, since it uses less digits than its factorization.

101342414133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302904 (or 302901 counting only the distinct ones).

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

Adding to 101342414133 its reverse (331414243101), we get a palindrome (432756657234).

The spelling of 101342414133 in words is "one hundred one billion, three hundred forty-two million, four hundred fourteen thousand, one hundred thirty-three".