213142210001 has 16 divisors (see below), whose sum is σ = 245496649728. Its totient is φ = 181264683600.

The previous prime is 213142209979. The next prime is 213142210013. The reversal of 213142210001 is 100012241312.

It is not a de Polignac number, because 213142210001 - 2¹⁰ = 213142208977 is a prime.

It is a super-2 number, since 2×213142210001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213142210031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5676776 + ... + 5714198.

It is an arithmetic number, because the mean of its divisors is an integer number (15343540608).

Almost surely, 2^213142210001 is an apocalyptic number.

It is an amenable number.

213142210001 is a deficient number, since it is larger than the sum of its proper divisors (32354439727).

213142210001 is a wasteful number, since it uses less digits than its factorization.

213142210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43772.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 213142210001 its reverse (100012241312), we get a palindrome (313154451313).

The spelling of 213142210001 in words is "two hundred thirteen billion, one hundred forty-two million, two hundred ten thousand, one".