313302132222030 has 512 divisors, whose sum is σ = 999384783851520. Its totient is φ = 68350136739840.

The previous prime is 313302132222017. The next prime is 313302132222031. The reversal of 313302132222030 is 30222231203313.

313302132222030 is a `hidden beast` number, since 3 + 1 + 3 + 302 + 1 + 322 + 2 + 2 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313302132221985 and 313302132222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313302132222031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1591018837 + ... + 1591215743.

It is an arithmetic number, because the mean of its divisors is an integer number (1951923405960).

Almost surely, 2^{313302132222030} is an apocalyptic number.

313302132222030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313302132222030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499692391925760).

313302132222030 is an abundant number, since it is smaller than the sum of its proper divisors (686082651629490).

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

313302132222030 is a wasteful number, since it uses less digits than its factorization.

313302132222030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197401 (or 197395 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 313302132222030 its reverse (30222231203313), we get a palindrome (343524363425343).

The spelling of 313302132222030 in words is "three hundred thirteen trillion, three hundred two billion, one hundred thirty-two million, two hundred twenty-two thousand, thirty".