101406131729 has 4 divisors (see below), whose sum is σ = 115892721984. Its totient is φ = 86919541476.

The previous prime is 101406131711. The next prime is 101406131747. The reversal of 101406131729 is 927131604101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 927131604101 = 233 ⋅3979105597.

It is an interprime number because it is at equal distance from previous prime (101406131711) and next prime (101406131747).

It is a cyclic number.

It is not a de Polignac number, because 101406131729 - 2¹⁶ = 101406066193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101406131929) 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, 7243295117 + ... + 7243295130.

It is an arithmetic number, because the mean of its divisors is an integer number (28973180496).

Almost surely, 2^101406131729 is an apocalyptic number.

It is an amenable number.

101406131729 is a deficient number, since it is larger than the sum of its proper divisors (14486590255).

101406131729 is an equidigital number, since it uses as much as digits as its factorization.

101406131729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14486590254.

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 101406131729 in words is "one hundred one billion, four hundred six million, one hundred thirty-one thousand, seven hundred twenty-nine".