1313312334100 has 72 divisors (see below), whose sum is σ = 3087270830840. Its totient is φ = 484915242240.

The previous prime is 1313312334097. The next prime is 1313312334101. The reversal of 1313312334100 is 14332133131.

It can be written as a sum of positive squares in 12 ways, for example, as 1313215153936 + 97180164 = 1145956^2 + 9858^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313312334101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2769177 + ... + 3208576.

Almost surely, 2^{1313312334100} is an apocalyptic number.

1313312334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313312334100 is an abundant number, since it is smaller than the sum of its proper divisors (1773958496740).

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

1313312334100 is a wasteful number, since it uses less digits than its factorization.

1313312334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977806 (or 5977773 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1313312334100 its reverse (14332133131), we get a palindrome (1327644467231).

The spelling of 1313312334100 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, three hundred thirty-four thousand, one hundred".