213301202121312 has 48 divisors (see below), whose sum is σ = 559916455320432. Its totient is φ = 71100299151360.

The previous prime is 213301202121289. The next prime is 213301202121341. The reversal of 213301202121312 is 213121202103312.

213301202121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99031908 + ... + 101162844.

It is an arithmetic number, because the mean of its divisors is an integer number (11664926152509).

Almost surely, 2^{213301202121312} is an apocalyptic number.

It is an amenable number.

213301202121312 is an abundant number, since it is smaller than the sum of its proper divisors (346615253199120).

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

213301202121312 is a wasteful number, since it uses less digits than its factorization.

213301202121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173631 (or 3173623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 213301202121312 its reverse (213121202103312), we get a palindrome (426422404224624).

The spelling of 213301202121312 in words is "two hundred thirteen trillion, three hundred one billion, two hundred two million, one hundred twenty-one thousand, three hundred twelve".