230311313213202 has 160 divisors (see below), whose sum is σ = 567375718694400. Its totient is φ = 69398008364160.

The previous prime is 230311313213129. The next prime is 230311313213221. The reversal of 230311313213202 is 202312313113032.

230311313213202 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 1 + 1 + 313 + 21 + 320 + 2 = 666.

230311313213202 is digitally balanced in base 13, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

230311313213202 is strictly pandigital in base 13.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 17110663 + ... + 27448085.

It is an arithmetic number, because the mean of its divisors is an integer number (3546098241840).

Almost surely, 2^{230311313213202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230311313213202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283687859347200).

230311313213202 is an abundant number, since it is smaller than the sum of its proper divisors (337064405481198).

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

230311313213202 is a wasteful number, since it uses less digits than its factorization.

230311313213202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337670 (or 10337661 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 230311313213202 its reverse (202312313113032), we get a palindrome (432623626326234).

The spelling of 230311313213202 in words is "two hundred thirty trillion, three hundred eleven billion, three hundred thirteen million, two hundred thirteen thousand, two hundred two".