313114314315000 has 320 divisors, whose sum is σ = 1082123110759680. Its totient is φ = 74837392000000.

The previous prime is 313114314314993. The next prime is 313114314315083. The reversal of 313114314315000 is 513413411313.

It is a super-2 number, since 2×313114314315000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1648821 + ... + 25078820.

It is an arithmetic number, because the mean of its divisors is an integer number (3381634721124).

Almost surely, 2^{313114314315000} is an apocalyptic number.

313114314315000 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 313114314315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541061555379840).

313114314315000 is an abundant number, since it is smaller than the sum of its proper divisors (769008796444680).

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

313114314315000 is a wasteful number, since it uses less digits than its factorization.

313114314315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26727752 (or 26727733 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 313114314315000 its reverse (513413411313), we get a palindrome (313627727726313).

The spelling of 313114314315000 in words is "three hundred thirteen trillion, one hundred fourteen billion, three hundred fourteen million, three hundred fifteen thousand".