213142234033001 has 32 divisors (see below), whose sum is σ = 262411441963776. Its totient is φ = 168586956288000.

The previous prime is 213142234032953. The next prime is 213142234033093. The reversal of 213142234033001 is 100330432241312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213142234033001 is a prime.

It is a super-2 number, since 2×213142234033001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213142234032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7359615161 + ... + 7359644121.

It is an arithmetic number, because the mean of its divisors is an integer number (8200357561368).

Almost surely, 2^{213142234033001} is an apocalyptic number.

It is an amenable number.

213142234033001 is a deficient number, since it is larger than the sum of its proper divisors (49269207930775).

213142234033001 is a wasteful number, since it uses less digits than its factorization.

213142234033001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51633.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 213142234033001 its reverse (100330432241312), we get a palindrome (313472666274313).

The spelling of 213142234033001 in words is "two hundred thirteen trillion, one hundred forty-two billion, two hundred thirty-four million, thirty-three thousand, one".