313212011130 has 96 divisors (see below), whose sum is σ = 836602041600. Its totient is φ = 81242372736.

The previous prime is 313212011087. The next prime is 313212011131. The reversal of 313212011130 is 31110212313.

313212011130 is a `hidden beast` number, since 31 + 321 + 201 + 113 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313212011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13571541 + ... + 13594599.

It is an arithmetic number, because the mean of its divisors is an integer number (8714604600).

Almost surely, 2^313212011130 is an apocalyptic number.

313212011130 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 313212011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418301020800).

313212011130 is an abundant number, since it is smaller than the sum of its proper divisors (523390030470).

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

313212011130 is a wasteful number, since it uses less digits than its factorization.

313212011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27188 (or 27185 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313212011130 its reverse (31110212313), we get a palindrome (344322223443).

The spelling of 313212011130 in words is "three hundred thirteen billion, two hundred twelve million, eleven thousand, one hundred thirty".