313130303443020 has 576 divisors, whose sum is σ = 1078741492899840. Its totient is φ = 67558650163200.

The previous prime is 313130303442991. The next prime is 313130303443073. The reversal of 313130303443020 is 20344303031313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23425616377 + ... + 23425629743.

It is an arithmetic number, because the mean of its divisors is an integer number (1872815091840).

Almost surely, 2^{313130303443020} is an apocalyptic number.

313130303443020 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 313130303443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539370746449920).

313130303443020 is an abundant number, since it is smaller than the sum of its proper divisors (765611189456820).

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

313130303443020 is a wasteful number, since it uses less digits than its factorization.

313130303443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19725 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 313130303443020 its reverse (20344303031313), we get a palindrome (333474606474333).

The spelling of 313130303443020 in words is "three hundred thirteen trillion, one hundred thirty billion, three hundred three million, four hundred forty-three thousand, twenty".