313125123144120 has 256 divisors, whose sum is σ = 1074453210547200. Its totient is φ = 71512714321920.

The previous prime is 313125123143947. The next prime is 313125123144131. The reversal of 313125123144120 is 21441321521313.

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, 10940383410 + ... + 10940412030.

It is an arithmetic number, because the mean of its divisors is an integer number (4197082853700).

Almost surely, 2^{313125123144120} is an apocalyptic number.

313125123144120 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 313125123144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537226605273600).

313125123144120 is an abundant number, since it is smaller than the sum of its proper divisors (761328087403080).

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

313125123144120 is a wasteful number, since it uses less digits than its factorization.

313125123144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38878 (or 38874 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 313125123144120 its reverse (21441321521313), we get a palindrome (334566444665433).

The spelling of 313125123144120 in words is "three hundred thirteen trillion, one hundred twenty-five billion, one hundred twenty-three million, one hundred forty-four thousand, one hundred twenty".