1313311022100 has 648 divisors, whose sum is σ = 5184146735040. Its totient is φ = 272209766400.

The previous prime is 1313311022059. The next prime is 1313311022113. The reversal of 1313311022100 is 12201133131.

1313311022100 is a `hidden beast` number, since 131 + 3 + 311 + 0 + 221 + 0 + 0 = 666.

It is a super-3 number, since 3×1313311022100³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 337696956 + ... + 337700844.

Almost surely, 2^{1313311022100} is an apocalyptic number.

1313311022100 is a gapful number since it is divisible by the number (10) 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 1313311022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592073367520).

1313311022100 is an abundant number, since it is smaller than the sum of its proper divisors (3870835712940).

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

1313311022100 is a wasteful number, since it uses less digits than its factorization.

1313311022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4360 counting only the distinct ones).

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

Adding to 1313311022100 its reverse (12201133131), we get a palindrome (1325512155231).

The spelling of 1313311022100 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, twenty-two thousand, one hundred".