10001011013 has 16 divisors (see below), whose sum is σ = 11661014016. Its totient is φ = 8399264640.

The previous prime is 10001011001. The next prime is 10001011037. The reversal of 10001011013 is 31011010001.

It is a cyclic number.

It is not a de Polignac number, because 10001011013 - 2⁴ = 10001010997 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 (10001811013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264620 + ... + 300042.

It is an arithmetic number, because the mean of its divisors is an integer number (728813376).

Almost surely, 2^10001011013 is an apocalyptic number.

It is an amenable number.

10001011013 is a deficient number, since it is larger than the sum of its proper divisors (1660003003).

10001011013 is an equidigital number, since it uses as much as digits as its factorization.

10001011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36244.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10001011013 its reverse (31011010001), we get a palindrome (41012021014).

The spelling of 10001011013 in words is "ten billion, one million, eleven thousand, thirteen".