1121101130331 has 144 divisors (see below), whose sum is σ = 2114531328000. Its totient is φ = 558888864768.

The previous prime is 1121101130251. The next prime is 1121101130353. The reversal of 1121101130331 is 1330311011211.

1121101130331 is a `hidden beast` number, since 11 + 211 + 0 + 113 + 0 + 331 = 666.

It is not a de Polignac number, because 1121101130331 - 2⁷ = 1121101130203 is a prime.

It is a super-3 number, since 3×1121101130331³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1121101140331) 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 143 ways as a sum of consecutive naturals, for example, 87586470 + ... + 87599268.

Almost surely, 2^{1121101130331} is an apocalyptic number.

1121101130331 is a deficient number, since it is larger than the sum of its proper divisors (993430197669).

1121101130331 is a wasteful number, since it uses less digits than its factorization.

1121101130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 13274 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1121101130331 its reverse (1330311011211), we get a palindrome (2451412141542).

The spelling of 1121101130331 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred thirty thousand, three hundred thirty-one".