1313310332100 has 288 divisors, whose sum is σ = 4116576522240. Its totient is φ = 321352335360.

The previous prime is 1313310332069. The next prime is 1313310332111. The reversal of 1313310332100 is 12330133131.

It is a super-2 number, since 2×1313310332100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503375596 + ... + 503378204.

It is an arithmetic number, because the mean of its divisors is an integer number (14293668480).

Almost surely, 2^{1313310332100} is an apocalyptic number.

1313310332100 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 1313310332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058288261120).

1313310332100 is an abundant number, since it is smaller than the sum of its proper divisors (2803266190140).

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

1313310332100 is a wasteful number, since it uses less digits than its factorization.

1313310332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1313310332100 its reverse (12330133131), we get a palindrome (1325640465231).

The spelling of 1313310332100 in words is "one trillion, three hundred thirteen billion, three hundred ten million, three hundred thirty-two thousand, one hundred".