101313100021 has 8 divisors (see below), whose sum is σ = 115788705984. Its totient is φ = 86838070560.

The previous prime is 101313100013. The next prime is 101313100067. The reversal of 101313100021 is 120001313101.

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 101313100021 - 2³ = 101313100013 is a prime.

It is a super-3 number, since 3×101313100021³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101313099974 and 101313100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313100081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341601 + ... + 565081.

It is an arithmetic number, because the mean of its divisors is an integer number (14473588248).

Almost surely, 2^101313100021 is an apocalyptic number.

It is an amenable number.

101313100021 is a deficient number, since it is larger than the sum of its proper divisors (14475605963).

101313100021 is an equidigital number, since it uses as much as digits as its factorization.

101313100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288251.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101313100021 its reverse (120001313101), we get a palindrome (221314413122).

The spelling of 101313100021 in words is "one hundred one billion, three hundred thirteen million, one hundred thousand, twenty-one".