13011010001 has 16 divisors (see below), whose sum is σ = 14830335360. Its totient is φ = 11299115520.

The previous prime is 13011009971. The next prime is 13011010039. The reversal of 13011010001 is 10001011031.

It is not a de Polignac number, because 13011010001 - 2⁶ = 13011009937 is a prime.

It is a super-2 number, since 2×13011010001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13011010081) 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 15 ways as a sum of consecutive naturals, for example, 162305 + ... + 228833.

It is an arithmetic number, because the mean of its divisors is an integer number (926895960).

Almost surely, 2^13011010001 is an apocalyptic number.

13011010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13011010001 is a deficient number, since it is larger than the sum of its proper divisors (1819325359).

13011010001 is a wasteful number, since it uses less digits than its factorization.

13011010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67336.

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

Adding to 13011010001 its reverse (10001011031), we get a palindrome (23012021032).

The spelling of 13011010001 in words is "thirteen billion, eleven million, ten thousand, one".