313233040120 has 256 divisors, whose sum is σ = 996076569600. Its totient is φ = 85377576960.

The previous prime is 313233040093. The next prime is 313233040121. The reversal of 313233040120 is 21040332313.

It is a super-2 number, since 2×313233040120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 313233040091 and 313233040100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313233040121) 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 63 ways as a sum of consecutive naturals, for example, 554892 + ... + 966628.

It is an arithmetic number, because the mean of its divisors is an integer number (3890924100).

Almost surely, 2^313233040120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313233040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498038284800).

313233040120 is an abundant number, since it is smaller than the sum of its proper divisors (682843529480).

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

313233040120 is a wasteful number, since it uses less digits than its factorization.

313233040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411798 (or 411794 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 313233040120 its reverse (21040332313), we get a palindrome (334273372433).

The spelling of 313233040120 in words is "three hundred thirteen billion, two hundred thirty-three million, forty thousand, one hundred twenty".