313242132120 has 256 divisors, whose sum is σ = 983722752000. Its totient is φ = 79738214400.

The previous prime is 313242132097. The next prime is 313242132139. The reversal of 313242132120 is 21231242313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34113930 + ... + 34123110.

It is an arithmetic number, because the mean of its divisors is an integer number (3842667000).

Almost surely, 2^313242132120 is an apocalyptic number.

313242132120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313242132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491861376000).

313242132120 is an abundant number, since it is smaller than the sum of its proper divisors (670480619880).

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

313242132120 is a wasteful number, since it uses less digits than its factorization.

313242132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9394 (or 9390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313242132120 its reverse (21231242313), we get a palindrome (334473374433).

The spelling of 313242132120 in words is "three hundred thirteen billion, two hundred forty-two million, one hundred thirty-two thousand, one hundred twenty".