101320220013 has 8 divisors (see below), whose sum is σ = 135095976576. Its totient is φ = 67545638400.

The previous prime is 101320219991. The next prime is 101320220033. The reversal of 101320220013 is 310022023101.

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

It is not a de Polignac number, because 101320220013 - 2⁹ = 101320219501 is a prime.

It is a super-4 number, since 4×101320220013⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101320219974 and 101320220001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320220033) 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, 67668 + ... + 455213.

It is an arithmetic number, because the mean of its divisors is an integer number (16886997072).

Almost surely, 2^101320220013 is an apocalyptic number.

It is an amenable number.

101320220013 is a deficient number, since it is larger than the sum of its proper divisors (33775756563).

101320220013 is an equidigital number, since it uses as much as digits as its factorization.

101320220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587475.

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

Adding to 101320220013 its reverse (310022023101), we get a palindrome (411342243114).

The spelling of 101320220013 in words is "one hundred one billion, three hundred twenty million, two hundred twenty thousand, thirteen".