1200103303311 has 64 divisors (see below), whose sum is σ = 1955894169600. Its totient is φ = 721236060000.

The previous prime is 1200103303229. The next prime is 1200103303313. The reversal of 1200103303311 is 1133033010021.

It is a happy number.

1200103303311 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 0 + 330 + 331 + 1 = 666.

It is not a de Polignac number, because 1200103303311 - 2²¹ = 1200101206159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200103303313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16886710 + ... + 16957628.

It is an arithmetic number, because the mean of its divisors is an integer number (30560846400).

Almost surely, 2^{1200103303311} is an apocalyptic number.

1200103303311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1200103303311 is a deficient number, since it is larger than the sum of its proper divisors (755790866289).

1200103303311 is a wasteful number, since it uses less digits than its factorization.

1200103303311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71417 (or 71411 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1200103303311 its reverse (1133033010021), we get a palindrome (2333136313332).

The spelling of 1200103303311 in words is "one trillion, two hundred billion, one hundred three million, three hundred three thousand, three hundred eleven".