313352413244100 has 432 divisors, whose sum is σ = 993506840398800. Its totient is φ = 82601701539840.

The previous prime is 313352413244069. The next prime is 313352413244107. The reversal of 313352413244100 is 1442314253313.

313352413244100 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 524 + 1 + 3 + 24 + 4 + 100 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 311649028045056 + 1703385199044 = 17653584^2 + 1305138^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313352413244107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101441375356 + ... + 101441378444.

It is an arithmetic number, because the mean of its divisors is an integer number (2299784352775).

Almost surely, 2^{313352413244100} is an apocalyptic number.

313352413244100 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 313352413244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496753420199400).

313352413244100 is an abundant number, since it is smaller than the sum of its proper divisors (680154427154700).

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

313352413244100 is a wasteful number, since it uses less digits than its factorization.

313352413244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5544 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 313352413244100 its reverse (1442314253313), we get a palindrome (314794727497413).

The spelling of 313352413244100 in words is "three hundred thirteen trillion, three hundred fifty-two billion, four hundred thirteen million, two hundred forty-four thousand, one hundred".