13001121001 has 6 divisors (see below), whose sum is σ = 14290488506. Its totient is φ = 11819200800.

The previous prime is 13001120999. The next prime is 13001121017. The reversal of 13001121001 is 10012110031.

It can be written as a sum of positive squares in only one way, i.e., 6581265625 + 6419855376 = 81125^2 + 80124^2 .

It is not a de Polignac number, because 13001121001 - 2¹ = 13001120999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13001121701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53723520 + ... + 53723761.

Almost surely, 2^13001121001 is an apocalyptic number.

13001121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13001121001 is a deficient number, since it is larger than the sum of its proper divisors (1289367505).

13001121001 is a wasteful number, since it uses less digits than its factorization.

13001121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107447303 (or 107447292 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 13001121001 its reverse (10012110031), we get a palindrome (23013231032).

The spelling of 13001121001 in words is "thirteen billion, one million, one hundred twenty-one thousand, one".