1102013000001 has 12 divisors (see below), whose sum is σ = 1592651924500. Its totient is φ = 734280547680.

The previous prime is 1102012999963. The next prime is 1102013000003. The reversal of 1102013000001 is 1000003102011.

It can be written as a sum of positive squares in 2 ways, for example, as 105911193600 + 996101806401 = 325440^2 + 998049^2 .

It is not a de Polignac number, because 1102013000001 - 2⁷ = 1102012999873 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1102013000003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32881126 + ... + 32914623.

Almost surely, 2^{1102013000001} is an apocalyptic number.

It is an amenable number.

1102013000001 is a deficient number, since it is larger than the sum of its proper divisors (490638924499).

1102013000001 is a wasteful number, since it uses less digits than its factorization.

1102013000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65797616 (or 65797613 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1102013000001 its reverse (1000003102011), we get a palindrome (2102016102012).

The spelling of 1102013000001 in words is "one trillion, one hundred two billion, thirteen million, one", and thus it is an aban number.