313331022230130 has 256 divisors, whose sum is σ = 840003224256000. Its totient is φ = 83110919823360.

The previous prime is 313331022230129. The next prime is 313331022230137. The reversal of 313331022230130 is 31032220133313.

313331022230130 is a `hidden beast` number, since 3 + 1 + 3 + 331 + 0 + 2 + 22 + 301 + 3 + 0 = 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 = 313331022230094 and 313331022230103.

It is not an unprimeable number, because it can be changed into a prime (313331022230137) 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 127 ways as a sum of consecutive naturals, for example, 126496172452 + ... + 126496174928.

It is an arithmetic number, because the mean of its divisors is an integer number (3281262594750).

Almost surely, 2^{313331022230130} is an apocalyptic number.

313331022230130 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 313331022230130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420001612128000).

313331022230130 is an abundant number, since it is smaller than the sum of its proper divisors (526672202025870).

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

313331022230130 is a wasteful number, since it uses less digits than its factorization.

313331022230130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 313331022230130 its reverse (31032220133313), we get a palindrome (344363242363443).

The spelling of 313331022230130 in words is "three hundred thirteen trillion, three hundred thirty-one billion, twenty-two million, two hundred thirty thousand, one hundred thirty".