10131114011201 has 4 divisors (see below), whose sum is σ = 10167688430292. Its totient is φ = 10094539592112.

The previous prime is 10131114011143. The next prime is 10131114011209. The reversal of 10131114011201 is 10211041113101.

10131114011201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 863041000000 + 9268073011201 = 929000^2 + 3044351^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131114011201 - 2¹⁰ = 10131114010177 is a prime.

It is a super-2 number, since 2×10131114011201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10131114011201.

It is not an unprimeable number, because it can be changed into a prime (10131114011209) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18287209130 + ... + 18287209683.

It is an arithmetic number, because the mean of its divisors is an integer number (2541922107573).

Almost surely, 2^{10131114011201} is an apocalyptic number.

It is an amenable number.

10131114011201 is a deficient number, since it is larger than the sum of its proper divisors (36574419091).

10131114011201 is an equidigital number, since it uses as much as digits as its factorization.

10131114011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36574419090.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 10131114011201 its reverse (10211041113101), we get a palindrome (20342155124302).

The spelling of 10131114011201 in words is "ten trillion, one hundred thirty-one billion, one hundred fourteen million, eleven thousand, two hundred one".