101321220113033 has 6 divisors (see below), whose sum is σ = 101890422717594. Its totient is φ = 100755179745344.

The previous prime is 101321220112993. The next prime is 101321220113051. The reversal of 101321220113033 is 330311022123101.

It can be written as a sum of positive squares in only one way, i.e., 62234553876544 + 39086666236489 = 7888888^2 + 6251933^2 .

It is not a de Polignac number, because 101321220113033 - 2¹⁶ = 101321220047497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101321220113063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1581086216 + ... + 1581150297.

It is an arithmetic number, because the mean of its divisors is an integer number (16981737119599).

Almost surely, 2^{101321220113033} is an apocalyptic number.

It is an amenable number.

101321220113033 is a deficient number, since it is larger than the sum of its proper divisors (569202604561).

101321220113033 is an frugal number, since it uses more digits than its factorization.

101321220113033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162236871 (or 3162236692 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101321220113033 its reverse (330311022123101), we get a palindrome (431632242236134).

The spelling of 101321220113033 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, one hundred thirteen thousand, thirty-three".