313311212100 has 216 divisors, whose sum is σ = 1075682167560. Its totient is φ = 75923312640.

The previous prime is 313311212087. The next prime is 313311212107. The reversal of 313311212100 is 1212113313.

313311212100 is a `hidden beast` number, since 3 + 1 + 331 + 121 + 210 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 30846599424 + 282464612676 = 175632^2 + 531474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313311212107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90634 + ... + 796766.

It is an arithmetic number, because the mean of its divisors is an integer number (4980010035).

Almost surely, 2^313311212100 is an apocalyptic number.

313311212100 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 313311212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537841083780).

313311212100 is an abundant number, since it is smaller than the sum of its proper divisors (762370955460).

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

313311212100 is a wasteful number, since it uses less digits than its factorization.

313311212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706199 (or 706189 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313311212100 its reverse (1212113313), we get a palindrome (314523325413).

The spelling of 313311212100 in words is "three hundred thirteen billion, three hundred eleven million, two hundred twelve thousand, one hundred".