313313232045000 has 320 divisors, whose sum is σ = 1067908839782400. Its totient is φ = 75944953120000.

The previous prime is 313313232044987. The next prime is 313313232045019. The reversal of 313313232045000 is 540232313313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1326316897 + ... + 1326553103.

It is an arithmetic number, because the mean of its divisors is an integer number (3337215124320).

Almost surely, 2^{313313232045000} is an apocalyptic number.

313313232045000 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 313313232045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533954419891200).

313313232045000 is an abundant number, since it is smaller than the sum of its proper divisors (754595607737400).

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

313313232045000 is a wasteful number, since it uses less digits than its factorization.

313313232045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244286 (or 244267 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 313313232045000 its reverse (540232313313), we get a palindrome (313853464358313).

The spelling of 313313232045000 in words is "three hundred thirteen trillion, three hundred thirteen billion, two hundred thirty-two million, forty-five thousand".