13313211313300 has 18 divisors (see below), whose sum is σ = 28889668550078. Its totient is φ = 5325284525280.

The previous prime is 13313211313231. The next prime is 13313211313313. The reversal of 13313211313300 is 331311231331.

13313211313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1983376488976 + 11329834824324 = 1408324^2 + 3365982^2 .

It is a super-2 number, since 2×13313211313300² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66566056467 + ... + 66566056666.

Almost surely, 2^{13313211313300} is an apocalyptic number.

13313211313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313211313300 is an abundant number, since it is smaller than the sum of its proper divisors (15576457236778).

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

13313211313300 is a wasteful number, since it uses less digits than its factorization.

13313211313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133132113147 (or 133132113140 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13313211313300 its reverse (331311231331), we get a palindrome (13644522544631).

The spelling of 13313211313300 in words is "thirteen trillion, three hundred thirteen billion, two hundred eleven million, three hundred thirteen thousand, three hundred".