313545504213400 has 192 divisors, whose sum is σ = 773302519756800. Its totient is φ = 117897519168000.

The previous prime is 313545504213379. The next prime is 313545504213413. The reversal of 313545504213400 is 4312405545313.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5511115354 + ... + 5511172246.

It is an arithmetic number, because the mean of its divisors is an integer number (4027617290400).

Almost surely, 2^{313545504213400} 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 313545504213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386651259878400).

313545504213400 is an abundant number, since it is smaller than the sum of its proper divisors (459757015543400).

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

313545504213400 is a wasteful number, since it uses less digits than its factorization.

313545504213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68130 (or 68121 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 313545504213400 its reverse (4312405545313), we get a palindrome (317857909758713).

The spelling of 313545504213400 in words is "three hundred thirteen trillion, five hundred forty-five billion, five hundred four million, two hundred thirteen thousand, four hundred".