1101201033213 has 48 divisors (see below), whose sum is σ = 1619351276400. Its totient is φ = 721002332160.

The previous prime is 1101201033203. The next prime is 1101201033217. The reversal of 1101201033213 is 3123301021011.

It can be written as a sum of positive squares in 8 ways, for example, as 12210692004 + 1088990341209 = 110502^2 + 1043547^2 .

It is not a de Polignac number, because 1101201033213 - 2⁵ = 1101201033181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101201033217) 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 47 ways as a sum of consecutive naturals, for example, 76630093 + ... + 76644461.

It is an arithmetic number, because the mean of its divisors is an integer number (33736484925).

Almost surely, 2^{1101201033213} is an apocalyptic number.

It is an amenable number.

1101201033213 is a deficient number, since it is larger than the sum of its proper divisors (518150243187).

1101201033213 is a wasteful number, since it uses less digits than its factorization.

1101201033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15102 (or 15099 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1101201033213 its reverse (3123301021011), we get a palindrome (4224502054224).

The spelling of 1101201033213 in words is "one trillion, one hundred one billion, two hundred one million, thirty-three thousand, two hundred thirteen".