10001131013 has 4 divisors (see below), whose sum is σ = 10003618560. Its totient is φ = 9998643468.

The previous prime is 10001130973. The next prime is 10001131027. The reversal of 10001131013 is 31013110001.

It is a happy number.

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 not a de Polignac number, because 10001131013 - 2⁶ = 10001130949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001130985 and 10001131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001131073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1237733 + ... + 1245786.

It is an arithmetic number, because the mean of its divisors is an integer number (2500904640).

Almost surely, 2^10001131013 is an apocalyptic number.

It is an amenable number.

10001131013 is a deficient number, since it is larger than the sum of its proper divisors (2487547).

10001131013 is an equidigital number, since it uses as much as digits as its factorization.

10001131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487546.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10001131013 its reverse (31013110001), we get a palindrome (41014241014).

The spelling of 10001131013 in words is "ten billion, one million, one hundred thirty-one thousand, thirteen".