1313111013300 has 108 divisors (see below), whose sum is σ = 4172255558380. Its totient is φ = 345366167040.

The previous prime is 1313111013217. The next prime is 1313111013349. The reversal of 1313111013300 is 33101113131.

1313111013300 is a `hidden beast` number, since 1 + 31 + 311 + 10 + 13 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 119165801616 + 1193945211684 = 345204^2 + 1092678^2 .

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 35 ways as a sum of consecutive naturals, for example, 9927535 + ... + 10058934.

Almost surely, 2^{1313111013300} is an apocalyptic number.

1313111013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313111013300 is an abundant number, since it is smaller than the sum of its proper divisors (2859144545080).

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

1313111013300 is a wasteful number, since it uses less digits than its factorization.

1313111013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19986562 (or 19986552 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1313111013300 its reverse (33101113131), we get a palindrome (1346212126431).

The spelling of 1313111013300 in words is "one trillion, three hundred thirteen billion, one hundred eleven million, thirteen thousand, three hundred".