102213113313301 has 8 divisors (see below), whose sum is σ = 108227620231704. Its totient is φ = 96198825377280.

The previous prime is 102213113313247. The next prime is 102213113313313. The reversal of 102213113313301 is 103313311312201.

It can be written as a sum of positive squares in 4 ways, for example, as 23174345672676 + 79038767640625 = 4813974^2 + 8890375^2 .

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 102213113313301 - 2¹³ = 102213113305109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213113353301) 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, 53784120 + ... + 55652113.

It is an arithmetic number, because the mean of its divisors is an integer number (13528452528963).

Almost surely, 2^{102213113313301} is an apocalyptic number.

It is an amenable number.

102213113313301 is a deficient number, since it is larger than the sum of its proper divisors (6014506918403).

102213113313301 is a wasteful number, since it uses less digits than its factorization.

102213113313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109491191.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 102213113313301 its reverse (103313311312201), we get a palindrome (205526424625502).

The spelling of 102213113313301 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirteen million, three hundred thirteen thousand, three hundred one".