10131310134401 has 16 divisors (see below), whose sum is σ = 10765231646400. Its totient is φ = 9507475194048.

The previous prime is 10131310134367. The next prime is 10131310134427. The reversal of 10131310134401 is 10443101313101.

It is a cyclic number.

It is not a de Polignac number, because 10131310134401 - 2¹⁰ = 10131310133377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131310130401) 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, 21588035 + ... + 22052343.

It is an arithmetic number, because the mean of its divisors is an integer number (672826977900).

Almost surely, 2^{10131310134401} is an apocalyptic number.

It is an amenable number.

10131310134401 is a deficient number, since it is larger than the sum of its proper divisors (633921511999).

10131310134401 is a wasteful number, since it uses less digits than its factorization.

10131310134401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475168.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10131310134401 its reverse (10443101313101), we get a palindrome (20574411447502).

The spelling of 10131310134401 in words is "ten trillion, one hundred thirty-one billion, three hundred ten million, one hundred thirty-four thousand, four hundred one".