313100134400420 has 24 divisors (see below), whose sum is σ = 657513677857848. Its totient is φ = 125239406976000.

The previous prime is 313100134400399. The next prime is 313100134400437. The reversal of 313100134400420 is 24004431001313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28409496963136 + 284690637437284 = 5330056^2 + 16872778^2 .

It is a super-2 number, since 2×313100134400420² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313100134400420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36444941 + ... + 44208980.

It is an arithmetic number, because the mean of its divisors is an integer number (27396403244077).

Almost surely, 2^{313100134400420} is an apocalyptic number.

It is an amenable number.

313100134400420 is an abundant number, since it is smaller than the sum of its proper divisors (344413543457428).

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

313100134400420 is a wasteful number, since it uses less digits than its factorization.

313100134400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80848031 (or 80848029 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 313100134400420 its reverse (24004431001313), we get a palindrome (337104565401733).

The spelling of 313100134400420 in words is "three hundred thirteen trillion, one hundred billion, one hundred thirty-four million, four hundred thousand, four hundred twenty".