313233020021100 has 144 divisors (see below), whose sum is σ = 927642690817920. Its totient is φ = 81561756057600.

The previous prime is 313233020021027. The next prime is 313233020021101. The reversal of 313233020021100 is 1120020332313.

It is a super-2 number, since 2×313233020021100² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313233020021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39297115 + ... + 46591085.

It is an arithmetic number, because the mean of its divisors is an integer number (6441963130680).

Almost surely, 2^{313233020021100} is an apocalyptic number.

313233020021100 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 313233020021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463821345408960).

313233020021100 is an abundant number, since it is smaller than the sum of its proper divisors (614409670796820).

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

313233020021100 is a wasteful number, since it uses less digits than its factorization.

313233020021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297360 (or 7297353 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313233020021100 its reverse (1120020332313), we get a palindrome (314353040353413).

The spelling of 313233020021100 in words is "three hundred thirteen trillion, two hundred thirty-three billion, twenty million, twenty-one thousand, one hundred".