101020320213 has 16 divisors (see below), whose sum is σ = 135206883840. Its totient is φ = 67090597056.

The previous prime is 101020320161. The next prime is 101020320241. The reversal of 101020320213 is 312023020101.

It is not a de Polignac number, because 101020320213 - 2¹⁷ = 101020189141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020320192 and 101020320201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020320263) 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 15 ways as a sum of consecutive naturals, for example, 1456323 + ... + 1524111.

It is an arithmetic number, because the mean of its divisors is an integer number (8450430240).

Almost surely, 2^101020320213 is an apocalyptic number.

It is an amenable number.

101020320213 is a deficient number, since it is larger than the sum of its proper divisors (34186563627).

101020320213 is a wasteful number, since it uses less digits than its factorization.

101020320213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69676.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101020320213 its reverse (312023020101), we get a palindrome (413043340314).

The spelling of 101020320213 in words is "one hundred one billion, twenty million, three hundred twenty thousand, two hundred thirteen".