1101330610249 has 27 divisors (see below), whose sum is σ = 1153160530101. Its totient is φ = 1051793752320.

The previous prime is 1101330610199. The next prime is 1101330610343. The reversal of 1101330610249 is 9420160331011.

The square root of 1101330610249 is 1049443.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40290525625 + 1061040084624 = 200725^2 + 1030068^2 .

It is not a de Polignac number, because 1101330610249 - 2²⁷ = 1101196392521 is a prime.

It is a super-2 number, since 2×1101330610249² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101330610249.

It is not an unprimeable number, because it can be changed into a prime (1101330610349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3155674927 + ... + 3155675275.

It is an arithmetic number, because the mean of its divisors is an integer number (42709649263).

Almost surely, 2^{1101330610249} is an apocalyptic number.

1101330610249 is the 1049443-rd square number.

1101330610249 is the 524722-nd centered octagonal number.

It is an amenable number.

1101330610249 is a deficient number, since it is larger than the sum of its proper divisors (51829919852).

1101330610249 is an frugal number, since it uses more digits than its factorization.

1101330610249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 1101330610249 in words is "one trillion, one hundred one billion, three hundred thirty million, six hundred ten thousand, two hundred forty-nine".