101305694495329 has 9 divisors (see below), whose sum is σ = 104118068761497. Its totient is φ = 98567340409584.

The previous prime is 101305694495231. The next prime is 101305694495347. The reversal of 101305694495329 is 923594496503101.

The square root of 101305694495329 is 10065073.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 35840636757025 + 65465057738304 = 5986705^2 + 8091048^2 .

It is not a de Polignac number, because 101305694495329 - 2¹⁵ = 101305694462561 is a prime.

It is a super-3 number, since 3×101305694495329³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101305694493329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 372271687 + ... + 372543715.

It is an arithmetic number, because the mean of its divisors is an integer number (11568674306833).

Almost surely, 2^{101305694495329} is an apocalyptic number.

101305694495329 is the 10065073-rd square number.

101305694495329 is the 5032537-th centered octagonal number.

It is an amenable number.

101305694495329 is a deficient number, since it is larger than the sum of its proper divisors (2812374266168).

101305694495329 is an frugal number, since it uses more digits than its factorization.

101305694495329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544132 (or 272066 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 61.

The spelling of 101305694495329 in words is "one hundred one trillion, three hundred five billion, six hundred ninety-four million, four hundred ninety-five thousand, three hundred twenty-nine".