1001004133032 has 96 divisors (see below), whose sum is σ = 2815220215080. Its totient is φ = 321070417920.

The previous prime is 1001004133001. The next prime is 1001004133039. The reversal of 1001004133032 is 2303314001001.

1001004133032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 502700852196 + 498303280836 = 709014^2 + 705906^2 .

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 = 1001004132996 and 1001004133014.

It is not an unprimeable number, because it can be changed into a prime (1001004133039) 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, 2107063 + ... + 2538054.

Almost surely, 2^{1001004133032} is an apocalyptic number.

1001004133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001004133032 is an abundant number, since it is smaller than the sum of its proper divisors (1814216082048).

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

1001004133032 is a wasteful number, since it uses less digits than its factorization.

1001004133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645243 (or 4645236 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1001004133032 its reverse (2303314001001), we get a palindrome (3304318134033).

The spelling of 1001004133032 in words is "one trillion, one billion, four million, one hundred thirty-three thousand, thirty-two".