213402434100001 has 8 divisors (see below), whose sum is σ = 213848087308520. Its totient is φ = 212957238678912.

The previous prime is 213402434099989. The next prime is 213402434100067. The reversal of 213402434100001 is 100001434204312.

It can be written as a sum of positive squares in 4 ways, for example, as 11547246719376 + 201855187380625 = 3398124^2 + 14207575^2 .

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 213402434100001 - 2¹³ = 213402434091809 is a prime.

It is a super-2 number, since 2×213402434100001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213402434100601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113513556 + ... + 115378213.

It is an arithmetic number, because the mean of its divisors is an integer number (26731010913565).

Almost surely, 2^{213402434100001} is an apocalyptic number.

It is an amenable number.

213402434100001 is a deficient number, since it is larger than the sum of its proper divisors (445653208519).

213402434100001 is a wasteful number, since it uses less digits than its factorization.

213402434100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228893715.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 213402434100001 its reverse (100001434204312), we get a palindrome (313403868304313).

The spelling of 213402434100001 in words is "two hundred thirteen trillion, four hundred two billion, four hundred thirty-four million, one hundred thousand, one".