101313320129 has 8 divisors (see below), whose sum is σ = 115800065088. Its totient is φ = 86829928560.

The previous prime is 101313320111. The next prime is 101313320153. The reversal of 101313320129 is 921023313101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101313320129 - 2²⁰ = 101312271553 is a prime.

It is a super-2 number, since 2×101313320129² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101313320098 and 101313320107.

It is not an unprimeable number, because it can be changed into a prime (101313320429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773267 + ... + 894744.

It is an arithmetic number, because the mean of its divisors is an integer number (14475008136).

Almost surely, 2^101313320129 is an apocalyptic number.

It is an amenable number.

101313320129 is a deficient number, since it is larger than the sum of its proper divisors (14486744959).

101313320129 is an equidigital number, since it uses as much as digits as its factorization.

101313320129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676695.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 101313320129 in words is "one hundred one billion, three hundred thirteen million, three hundred twenty thousand, one hundred twenty-nine".