1001033133120 has 168 divisors, whose sum is σ = 3444087767640. Its totient is φ = 266868449280.

The previous prime is 1001033133103. The next prime is 1001033133127. The reversal of 1001033133120 is 213313301001.

It is a happy number.

1001033133120 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 331 + 331 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165212983296 + 835820149824 = 406464^2 + 914232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001033133093 and 1001033133102.

It is not an unprimeable number, because it can be changed into a prime (1001033133127) 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, 10808610 + ... + 10900830.

Almost surely, 2^{1001033133120} is an apocalyptic number.

1001033133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001033133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722043883820).

1001033133120 is an abundant number, since it is smaller than the sum of its proper divisors (2443054634520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001033133120 is a wasteful number, since it uses less digits than its factorization.

1001033133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96013 (or 96000 counting only the distinct ones).

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

Adding to 1001033133120 its reverse (213313301001), we get a palindrome (1214346434121).

The spelling of 1001033133120 in words is "one trillion, one billion, thirty-three million, one hundred thirty-three thousand, one hundred twenty".