13003000101 has 54 divisors (see below), whose sum is σ = 23658655410. Its totient is φ = 6858686016.

The previous prime is 13003000079. The next prime is 13003000121. The reversal of 13003000101 is 10100030031.

It can be written as a sum of positive squares in 3 ways, for example, as 159201 + 13002840900 = 399^2 + 114030^2 .

It is not a de Polignac number, because 13003000101 - 2¹⁰ = 13002999077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003000121) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12706 + ... + 161763.

Almost surely, 2^13003000101 is an apocalyptic number.

It is an amenable number.

13003000101 is a deficient number, since it is larger than the sum of its proper divisors (10655655309).

13003000101 is a wasteful number, since it uses less digits than its factorization.

13003000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174515 (or 174492 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 13003000101 its reverse (10100030031), we get a palindrome (23103030132).

The spelling of 13003000101 in words is "thirteen billion, three million, one hundred one", and thus it is an aban number.