10131130311201 has 16 divisors (see below), whose sum is σ = 15060307489920. Its totient is φ = 6731035377840.

The previous prime is 10131130311199. The next prime is 10131130311223. The reversal of 10131130311201 is 10211303113101.

10131130311201 is a `hidden beast` number, since 10 + 1 + 311 + 30 + 311 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 10131130311201 - 2¹ = 10131130311199 is a prime.

It is a super-2 number, since 2×10131130311201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131130321201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640311285 + ... + 640327106.

It is an arithmetic number, because the mean of its divisors is an integer number (941269218120).

Almost surely, 2^{10131130311201} is an apocalyptic number.

It is an amenable number.

10131130311201 is a deficient number, since it is larger than the sum of its proper divisors (4929177178719).

10131130311201 is a wasteful number, since it uses less digits than its factorization.

10131130311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280638693 (or 1280638687 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10131130311201 its reverse (10211303113101), we get a palindrome (20342433424302).

The spelling of 10131130311201 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty million, three hundred eleven thousand, two hundred one".