213202424202312 has 32 divisors (see below), whose sum is σ = 538283348239680. Its totient is φ = 70363836369600.

The previous prime is 213202424202307. The next prime is 213202424202319.

213202424202312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213202424202312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213202424202312.

It is not an unprimeable number, because it can be changed into a prime (213202424202319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43977395308 + ... + 43977400155.

It is an arithmetic number, because the mean of its divisors is an integer number (16821354632490).

Almost surely, 2^{213202424202312} is an apocalyptic number.

It is an amenable number.

213202424202312 is an abundant number, since it is smaller than the sum of its proper divisors (325080924037368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213202424202312 is a wasteful number, since it uses less digits than its factorization.

213202424202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87954795573 (or 87954795569 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 213202424202312 in words is "two hundred thirteen trillion, two hundred two billion, four hundred twenty-four million, two hundred two thousand, three hundred twelve".