1032001133121 has 24 divisors (see below), whose sum is σ = 1719542620224. Its totient is φ = 584203574880.

The previous prime is 1032001133089. The next prime is 1032001133197. The reversal of 1032001133121 is 1213311002301.

1032001133121 is a `hidden beast` number, since 1 + 0 + 320 + 0 + 11 + 331 + 2 + 1 = 666.

It is not a de Polignac number, because 1032001133121 - 2⁵ = 1032001133089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032001133094 and 1032001133103.

It is not an unprimeable number, because it can be changed into a prime (1032001133521) 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, 76539850 + ... + 76553331.

It is an arithmetic number, because the mean of its divisors is an integer number (71647609176).

Almost surely, 2^{1032001133121} is an apocalyptic number.

It is an amenable number.

1032001133121 is a deficient number, since it is larger than the sum of its proper divisors (687541487103).

1032001133121 is a wasteful number, since it uses less digits than its factorization.

1032001133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153093301 (or 153093298 counting only the distinct ones).

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

Adding to 1032001133121 its reverse (1213311002301), we get a palindrome (2245312135422).

It can be divided in two parts, 103200 and 1133121, that added together give a palindrome (1236321).

The spelling of 1032001133121 in words is "one trillion, thirty-two billion, one million, one hundred thirty-three thousand, one hundred twenty-one".