10001011111013 has 4 divisors (see below), whose sum is σ = 10770319658028. Its totient is φ = 9231702564000.

The previous prime is 10001011110967. The next prime is 10001011111019. The reversal of 10001011111013 is 31011111010001.

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 3295179759169 + 6705831351844 = 1815263^2 + 2589562^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001011111013 - 2¹⁸ = 10001010848869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001011110985 and 10001011111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011111019) 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, 384654273488 + ... + 384654273513.

It is an arithmetic number, because the mean of its divisors is an integer number (2692579914507).

Almost surely, 2^{10001011111013} is an apocalyptic number.

10001011111013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10001011111013 is a deficient number, since it is larger than the sum of its proper divisors (769308547015).

10001011111013 is an equidigital number, since it uses as much as digits as its factorization.

10001011111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769308547014.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10001011111013 its reverse (31011111010001), we get a palindrome (41012122121014).

The spelling of 10001011111013 in words is "ten trillion, one billion, eleven million, one hundred eleven thousand, thirteen".