13130311313300 has 18 divisors (see below), whose sum is σ = 28492775550078. Its totient is φ = 5252124525280.

The previous prime is 13130311313267. The next prime is 13130311313309. The reversal of 13130311313300 is 331311303131.

13130311313300 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 100420539664 + 13029890773636 = 316892^2 + 3609694^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130311313309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65651556467 + ... + 65651556666.

Almost surely, 2^{13130311313300} is an apocalyptic number.

13130311313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130311313300 is an abundant number, since it is smaller than the sum of its proper divisors (15362464236778).

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

13130311313300 is a wasteful number, since it uses less digits than its factorization.

13130311313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131303113147 (or 131303113140 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 13130311313300 its reverse (331311303131), we get a palindrome (13461622616431).

The spelling of 13130311313300 in words is "thirteen trillion, one hundred thirty billion, three hundred eleven million, three hundred thirteen thousand, three hundred".