313213231100 has 864 divisors, whose sum is σ = 949559224320. Its totient is φ = 87436800000.

The previous prime is 313213231063. The next prime is 313213231103. The reversal of 313213231100 is 1132312313.

It is a super-2 number, since 2×313213231100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313213231103) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3101121050 + ... + 3101121150.

It is an arithmetic number, because the mean of its divisors is an integer number (1099026880).

Almost surely, 2^313213231100 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 313213231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474779612160).

313213231100 is an abundant number, since it is smaller than the sum of its proper divisors (636345993220).

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

313213231100 is a wasteful number, since it uses less digits than its factorization.

313213231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313213231100 its reverse (1132312313), we get a palindrome (314345543413).

The spelling of 313213231100 in words is "three hundred thirteen billion, two hundred thirteen million, two hundred thirty-one thousand, one hundred".