1102100013 has 42 divisors (see below), whose sum is σ = 1922235054. Its totient is φ = 629751024.

The previous prime is 1102100011. The next prime is 1102100017. The reversal of 1102100013 is 3100012011.

It can be written as a sum of positive squares in only one way, i.e., 730458729 + 371641284 = 27027^2 + 19278^2 .

It is not a de Polignac number, because 1102100013 - 2¹ = 1102100011 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1102099968 and 1102100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102100011) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 20295 + ... + 51147.

Almost surely, 2^1102100013 is an apocalyptic number.

It is an amenable number.

1102100013 is a deficient number, since it is larger than the sum of its proper divisors (820135041).

1102100013 is an frugal number, since it uses more digits than its factorization.

1102100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30885 (or 30863 counting only the distinct ones).

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

The square root of 1102100013 is about 33197.8916951062. The cubic root of 1102100013 is about 1032.9366074578.

Adding to 1102100013 its reverse (3100012011), we get a palindrome (4202112024).

The spelling of 1102100013 in words is "one billion, one hundred two million, one hundred thousand, thirteen".