313110323400420 has 384 divisors, whose sum is σ = 1199454531609600. Its totient is φ = 66033282392064.

The previous prime is 313110323400409. The next prime is 313110323400467. The reversal of 313110323400420 is 24004323011313.

It is a happy number.

313110323400420 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 0 + 3 + 234 + 0 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108501996 + ... + 111350364.

It is an arithmetic number, because the mean of its divisors is an integer number (3123579509400).

Almost surely, 2^{313110323400420} is an apocalyptic number.

313110323400420 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 313110323400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599727265804800).

313110323400420 is an abundant number, since it is smaller than the sum of its proper divisors (886344208209180).

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

313110323400420 is a wasteful number, since it uses less digits than its factorization.

313110323400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850644 (or 2850636 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 313110323400420 its reverse (24004323011313), we get a palindrome (337114646411733).

The spelling of 313110323400420 in words is "three hundred thirteen trillion, one hundred ten billion, three hundred twenty-three million, four hundred thousand, four hundred twenty".