1001121320133 has 24 divisors (see below), whose sum is σ = 1577635952256. Its totient is φ = 606697329600.

The previous prime is 1001121320131. The next prime is 1001121320141. The reversal of 1001121320133 is 3310231211001.

1001121320133 is a `hidden beast` number, since 100 + 112 + 1 + 320 + 133 = 666.

It is not a de Polignac number, because 1001121320133 - 2¹ = 1001121320131 is a prime.

It is a super-2 number, since 2×1001121320133² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121320131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080273 + ... + 1780233.

It is an arithmetic number, because the mean of its divisors is an integer number (65734831344).

Almost surely, 2^{1001121320133} is an apocalyptic number.

It is an amenable number.

1001121320133 is a deficient number, since it is larger than the sum of its proper divisors (576514632123).

1001121320133 is a wasteful number, since it uses less digits than its factorization.

1001121320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714425 (or 714422 counting only the distinct ones).

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

Adding to 1001121320133 its reverse (3310231211001), we get a palindrome (4311352531134).

The spelling of 1001121320133 in words is "one trillion, one billion, one hundred twenty-one million, three hundred twenty thousand, one hundred thirty-three".