13200313114837 has 2 divisors, whose sum is σ = 13200313114838. Its totient is φ = 13200313114836.

The previous prime is 13200313114829. The next prime is 13200313114847. The reversal of 13200313114837 is 73841131300231.

13200313114837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7686861605361 + 5513451509476 = 2772519^2 + 2348074^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200313114837 - 2³ = 13200313114829 is a prime.

It is a super-2 number, since 2×13200313114837² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13200313114796 and 13200313114805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13200313114847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600156557418 + 6600156557419.

It is an arithmetic number, because the mean of its divisors is an integer number (6600156557419).

Almost surely, 2^{13200313114837} is an apocalyptic number.

It is an amenable number.

13200313114837 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200313114837 is an equidigital number, since it uses as much as digits as its factorization.

13200313114837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 13200313114837 in words is "thirteen trillion, two hundred billion, three hundred thirteen million, one hundred fourteen thousand, eight hundred thirty-seven".