313211323322100 has 864 divisors, whose sum is σ = 1231862915727360. Its totient is φ = 67939215886080.

The previous prime is 313211323322099. The next prime is 313211323322111. The reversal of 313211323322100 is 1223323112313.

313211323322100 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 1 + 1 + 323 + 322 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 386043057 + ... + 386853543.

Almost surely, 2^{313211323322100} is an apocalyptic number.

313211323322100 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 313211323322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615931457863680).

313211323322100 is an abundant number, since it is smaller than the sum of its proper divisors (918651592405260).

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

313211323322100 is a wasteful number, since it uses less digits than its factorization.

313211323322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810674 (or 810654 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 313211323322100 its reverse (1223323112313), we get a palindrome (314434646434413).

The spelling of 313211323322100 in words is "three hundred thirteen trillion, two hundred eleven billion, three hundred twenty-three million, three hundred twenty-two thousand, one hundred".