313130101435424 has 432 divisors, whose sum is σ = 818498886871680. Its totient is φ = 117198192384000.

The previous prime is 313130101435421. The next prime is 313130101435441. The reversal of 313130101435424 is 424534101031313.

It is not an unprimeable number, because it can be changed into a prime (313130101435421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3781129442 + ... + 3781212254.

It is an arithmetic number, because the mean of its divisors is an integer number (1894673349240).

Almost surely, 2^{313130101435424} 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 313130101435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409249443435840).

313130101435424 is an abundant number, since it is smaller than the sum of its proper divisors (505368785436256).

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

313130101435424 is a wasteful number, since it uses less digits than its factorization.

313130101435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83633 (or 83605 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 313130101435424 its reverse (424534101031313), we get a palindrome (737664202466737).

The spelling of 313130101435424 in words is "three hundred thirteen trillion, one hundred thirty billion, one hundred one million, four hundred thirty-five thousand, four hundred twenty-four".