10131334131101 has 4 divisors (see below), whose sum is σ = 10138335745632. Its totient is φ = 10124332516572.

The previous prime is 10131334131089. The next prime is 10131334131109. The reversal of 10131334131101 is 10113143313101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131334131101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131334131109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3500805095 + ... + 3500807988.

It is an arithmetic number, because the mean of its divisors is an integer number (2534583936408).

Almost surely, 2^{10131334131101} is an apocalyptic number.

It is an amenable number.

10131334131101 is a deficient number, since it is larger than the sum of its proper divisors (7001614531).

10131334131101 is an equidigital number, since it uses as much as digits as its factorization.

10131334131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001614530.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 10131334131101 its reverse (10113143313101), we get a palindrome (20244477444202).

The spelling of 10131334131101 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-four million, one hundred thirty-one thousand, one hundred one".