313034441314100 has 576 divisors, whose sum is σ = 771598694022912. Its totient is φ = 109275586560000.

The previous prime is 313034441314097. The next prime is 313034441314157. The reversal of 313034441314100 is 1413144430313.

It is a super-2 number, since 2×313034441314100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118888886384 + ... + 118888889016.

It is an arithmetic number, because the mean of its divisors is an integer number (1339581066012).

Almost surely, 2^{313034441314100} 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 313034441314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385799347011456).

313034441314100 is an abundant number, since it is smaller than the sum of its proper divisors (458564252708812).

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

313034441314100 is a wasteful number, since it uses less digits than its factorization.

313034441314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 313034441314100 its reverse (1413144430313), we get a palindrome (314447585744413).

It can be divided in two parts, 3130344 and 41314100, that added together give a palindrome (44444444).

The spelling of 313034441314100 in words is "three hundred thirteen trillion, thirty-four billion, four hundred forty-one million, three hundred fourteen thousand, one hundred".