313121302421140 has 144 divisors (see below), whose sum is σ = 714814984122624. Its totient is φ = 115129737676800.

The previous prime is 313121302421093. The next prime is 313121302421171. The reversal of 313121302421140 is 41124203121313.

It is a super-2 number, since 2×313121302421140² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313121302421099 and 313121302421108.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3335608405 + ... + 3335702275.

It is an arithmetic number, because the mean of its divisors is an integer number (4963992945296).

Almost surely, 2^{313121302421140} 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 313121302421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357407492061312).

313121302421140 is an abundant number, since it is smaller than the sum of its proper divisors (401693681701484).

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

313121302421140 is a wasteful number, since it uses less digits than its factorization.

313121302421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107378 (or 107359 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 313121302421140 its reverse (41124203121313), we get a palindrome (354245505542453).

The spelling of 313121302421140 in words is "three hundred thirteen trillion, one hundred twenty-one billion, three hundred two million, four hundred twenty-one thousand, one hundred forty".