213102303201312 has 48 divisors (see below), whose sum is σ = 639306909605952. Its totient is φ = 60886372343040.

The previous prime is 213102303201311. The next prime is 213102303201331.

213102303201312 is nontrivially palindromic in base 10.

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 not an unprimeable number, because it can be changed into a prime (213102303201311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158558260639 + ... + 158558261982.

It is an arithmetic number, because the mean of its divisors is an integer number (13318893950124).

Almost surely, 2^{213102303201312} is an apocalyptic number.

It is an amenable number.

213102303201312 is an abundant number, since it is smaller than the sum of its proper divisors (426204606404640).

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

213102303201312 is a wasteful number, since it uses less digits than its factorization.

213102303201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317116522641 (or 317116522633 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 21310230 and 3201312, that added together give a palindrome (24511542).

The spelling of 213102303201312 in words is "two hundred thirteen trillion, one hundred two billion, three hundred three million, two hundred one thousand, three hundred twelve".