1100013100002 has 80 divisors (see below), whose sum is σ = 2487427975032. Its totient is φ = 363326135040.

The previous prime is 1100013099967. The next prime is 1100013100009. The reversal of 1100013100002 is 2000013100011.

It can be written as a sum of positive squares in 4 ways, for example, as 821852846721 + 278160253281 = 906561^2 + 527409^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1100013100009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8054478 + ... + 8189910.

Almost surely, 2^{1100013100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100013100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243713987516).

1100013100002 is an abundant number, since it is smaller than the sum of its proper divisors (1387414875030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100013100002 is a wasteful number, since it uses less digits than its factorization.

1100013100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135905 (or 135896 counting only the distinct ones).

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

Adding to 1100013100002 its reverse (2000013100011), we get a palindrome (3100026200013).

Subtracting 1100013100002 from its reverse (2000013100011), we obtain a palindrome (900000000009).

The spelling of 1100013100002 in words is "one trillion, one hundred billion, thirteen million, one hundred thousand, two".