213301130100101 has 8 divisors (see below), whose sum is σ = 214493159189400. Its totient is φ = 212109250129920.

The previous prime is 213301130100053. The next prime is 213301130100103. The reversal of 213301130100101 is 101001031103312.

It can be written as a sum of positive squares in 4 ways, for example, as 50987797049476 + 162313333050625 = 7140574^2 + 12740225^2 .

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 213301130100101 - 2²² = 213301125905797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213301130100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213301130100103) 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, 34410356 + ... + 40133213.

It is an arithmetic number, because the mean of its divisors is an integer number (26811644898675).

Almost surely, 2^{213301130100101} is an apocalyptic number.

It is an amenable number.

213301130100101 is a deficient number, since it is larger than the sum of its proper divisors (1192029089299).

213301130100101 is a wasteful number, since it uses less digits than its factorization.

213301130100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74559559.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 213301130100101 its reverse (101001031103312), we get a palindrome (314302161203413).

The spelling of 213301130100101 in words is "two hundred thirteen trillion, three hundred one billion, one hundred thirty million, one hundred thousand, one hundred one".