10131013011001 has 4 divisors (see below), whose sum is σ = 10195541756452. Its totient is φ = 10066484265552.

The previous prime is 10131013010999. The next prime is 10131013011019. The reversal of 10131013011001 is 10011031013101.

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 2028018087225 + 8102994923776 = 1424085^2 + 2846576^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131013011001 - 2¹ = 10131013010999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131013011601) 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, 32264372490 + ... + 32264372803.

It is an arithmetic number, because the mean of its divisors is an integer number (2548885439113).

Almost surely, 2^{10131013011001} is an apocalyptic number.

It is an amenable number.

10131013011001 is a deficient number, since it is larger than the sum of its proper divisors (64528745451).

10131013011001 is an equidigital number, since it uses as much as digits as its factorization.

10131013011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64528745450.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10131013011001 its reverse (10011031013101), we get a palindrome (20142044024102).

The spelling of 10131013011001 in words is "ten trillion, one hundred thirty-one billion, thirteen million, eleven thousand, one".