213342133101625 has 64 divisors (see below), whose sum is σ = 291696163200000. Its totient is φ = 154495342848000.

The previous prime is 213342133101613. The next prime is 213342133101637. The reversal of 213342133101625 is 526101331243312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213342133101613) and next prime (213342133101637).

It is not a de Polignac number, because 213342133101625 - 2²⁹ = 213341596230713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5339807649 + ... + 5339847601.

It is an arithmetic number, because the mean of its divisors is an integer number (4557752550000).

Almost surely, 2^{213342133101625} is an apocalyptic number.

213342133101625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213342133101625 is a deficient number, since it is larger than the sum of its proper divisors (78354030098375).

213342133101625 is a wasteful number, since it uses less digits than its factorization.

213342133101625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56467 (or 56457 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 213342133101625 its reverse (526101331243312), we get a palindrome (739443464344937).

The spelling of 213342133101625 in words is "two hundred thirteen trillion, three hundred forty-two billion, one hundred thirty-three million, one hundred one thousand, six hundred twenty-five".