10011110001013 has 8 divisors (see below), whose sum is σ = 11563635081600. Its totient is φ = 8565655615680.

The previous prime is 10011110001007. The next prime is 10011110001031. The reversal of 10011110001013 is 31010001111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10011110001013 - 2¹⁷ = 10011109869941 is a prime.

It is a super-2 number, since 2×10011110001013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011110001073) 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 7 ways as a sum of consecutive naturals, for example, 26767673613 + ... + 26767673986.

It is an arithmetic number, because the mean of its divisors is an integer number (1445454385200).

Almost surely, 2^{10011110001013} is an apocalyptic number.

It is an amenable number.

10011110001013 is a deficient number, since it is larger than the sum of its proper divisors (1552525080587).

10011110001013 is a wasteful number, since it uses less digits than its factorization.

10011110001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53535347627.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10011110001013 its reverse (31010001111001), we get a palindrome (41021111112014).

The spelling of 10011110001013 in words is "ten trillion, eleven billion, one hundred ten million, one thousand, thirteen".