213003323133101 has 8 divisors (see below), whose sum is σ = 214435281425400. Its totient is φ = 211571396918272.

The previous prime is 213003323133079. The next prime is 213003323133113. The reversal of 213003323133101 is 101331323300312.

It can be written as a sum of positive squares in 4 ways, for example, as 9465307577476 + 203538015555625 = 3076574^2 + 14266675^2 .

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 213003323133101 - 2¹⁰ = 213003323132077 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 (213003323133121) 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, 5380841 + ... + 21329793.

It is an arithmetic number, because the mean of its divisors is an integer number (26804410178175).

Almost surely, 2^{213003323133101} is an apocalyptic number.

It is an amenable number.

213003323133101 is a deficient number, since it is larger than the sum of its proper divisors (1431958292299).

213003323133101 is a wasteful number, since it uses less digits than its factorization.

213003323133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16038735.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 213003323133101 its reverse (101331323300312), we get a palindrome (314334646433413).

The spelling of 213003323133101 in words is "two hundred thirteen trillion, three billion, three hundred twenty-three million, one hundred thirty-three thousand, one hundred one".