10000113000337 has 2 divisors, whose sum is σ = 10000113000338. Its totient is φ = 10000113000336.

The previous prime is 10000113000313. The next prime is 10000113000347. The reversal of 10000113000337 is 73300031100001.

It is a happy number.

10000113000337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9999483542416 + 629457921 = 3162196^2 + 25089^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000113000337 - 2¹¹ = 10000112998289 is a prime.

It is a super-2 number, since 2×10000113000337² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10000113000347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000056500168 + 5000056500169.

It is an arithmetic number, because the mean of its divisors is an integer number (5000056500169).

Almost surely, 2^{10000113000337} is an apocalyptic number.

It is an amenable number.

10000113000337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000113000337 is an equidigital number, since it uses as much as digits as its factorization.

10000113000337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 19.

Adding to 10000113000337 its reverse (73300031100001), we get a palindrome (83300144100338).

The spelling of 10000113000337 in words is "ten trillion, one hundred thirteen million, three hundred thirty-seven", and thus it is an aban number.