101020330313 has 8 divisors (see below), whose sum is σ = 115566236160. Its totient is φ = 86503032000.

The previous prime is 101020330259. The next prime is 101020330339. The reversal of 101020330313 is 313033020101.

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

It is not a de Polignac number, because 101020330313 - 2⁶ = 101020330249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020330291 and 101020330300.

It is not an unprimeable number, because it can be changed into a prime (101020360313) 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 7 ways as a sum of consecutive naturals, for example, 7144313 + ... + 7158438.

It is an arithmetic number, because the mean of its divisors is an integer number (14445779520).

Almost surely, 2^101020330313 is an apocalyptic number.

It is an amenable number.

101020330313 is a deficient number, since it is larger than the sum of its proper divisors (14545905847).

101020330313 is a wasteful number, since it uses less digits than its factorization.

101020330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14303767.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 101020330313 its reverse (313033020101), we get a palindrome (414053350414).

The spelling of 101020330313 in words is "one hundred one billion, twenty million, three hundred thirty thousand, three hundred thirteen".