320213313113100 has 288 divisors, whose sum is σ = 1015265530847232. Its totient is φ = 77277626400000.

The previous prime is 320213313113069. The next prime is 320213313113173. The reversal of 320213313113100 is 1311313312023.

It is a super-2 number, since 2×320213313113100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11199779805 + ... + 11199808395.

It is an arithmetic number, because the mean of its divisors is an integer number (3525227537664).

Almost surely, 2^{320213313113100} is an apocalyptic number.

320213313113100 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 320213313113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507632765423616).

320213313113100 is an abundant number, since it is smaller than the sum of its proper divisors (695052217734132).

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

320213313113100 is a wasteful number, since it uses less digits than its factorization.

320213313113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43797 (or 43790 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 320213313113100 its reverse (1311313312023), we get a palindrome (321524626425123).

The spelling of 320213313113100 in words is "three hundred twenty trillion, two hundred thirteen billion, three hundred thirteen million, one hundred thirteen thousand, one hundred".