1121200011331 has 16 divisors (see below), whose sum is σ = 1225536231168. Its totient is φ = 1021133491200.

The previous prime is 1121200011319. The next prime is 1121200011343. The reversal of 1121200011331 is 1331100021211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121200011319) and next prime (1121200011343).

It is a cyclic number.

It is not a de Polignac number, because 1121200011331 - 2³⁷ = 983761057859 is a prime.

It is a super-3 number, since 3×1121200011331³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121200011391) 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 15 ways as a sum of consecutive naturals, for example, 8096151 + ... + 8233471.

It is an arithmetic number, because the mean of its divisors is an integer number (76596014448).

Almost surely, 2^{1121200011331} is an apocalyptic number.

1121200011331 is a deficient number, since it is larger than the sum of its proper divisors (104336219837).

1121200011331 is a wasteful number, since it uses less digits than its factorization.

1121200011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152862.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1121200011331 its reverse (1331100021211), we get a palindrome (2452300032542).

The spelling of 1121200011331 in words is "one trillion, one hundred twenty-one billion, two hundred million, eleven thousand, three hundred thirty-one".