313114012432340 has 192 divisors, whose sum is σ = 823720839782400. Its totient is φ = 97545881664000.

The previous prime is 313114012432259. The next prime is 313114012432451. The reversal of 313114012432340 is 43234210411313.

It is a junction number, because it is equal to n+sod(n) for n = 313114012432297 and 313114012432306.

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, 1792376 + ... + 25088655.

It is an arithmetic number, because the mean of its divisors is an integer number (4290212707200).

Almost surely, 2^{313114012432340} 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 313114012432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411860419891200).

313114012432340 is an abundant number, since it is smaller than the sum of its proper divisors (510606827350060).

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

313114012432340 is a wasteful number, since it uses less digits than its factorization.

313114012432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26881246 (or 26881244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 313114012432340 its reverse (43234210411313), we get a palindrome (356348222843653).

The spelling of 313114012432340 in words is "three hundred thirteen trillion, one hundred fourteen billion, twelve million, four hundred thirty-two thousand, three hundred forty".