1001013132033 has 24 divisors (see below), whose sum is σ = 1454574202536. Its totient is φ = 663345676800.

The previous prime is 1001013131981. The next prime is 1001013132059. The reversal of 1001013132033 is 3302313101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14392081089 + 986621050944 = 119967^2 + 993288^2 .

It is not a de Polignac number, because 1001013132033 - 2⁸ = 1001013131777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001013131997 and 1001013132015.

It is not an unprimeable number, because it can be changed into a prime (1001013132233) 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, 3378091 + ... + 3662447.

It is an arithmetic number, because the mean of its divisors is an integer number (60607258439).

Almost surely, 2^{1001013132033} is an apocalyptic number.

It is an amenable number.

1001013132033 is a deficient number, since it is larger than the sum of its proper divisors (453561070503).

1001013132033 is a wasteful number, since it uses less digits than its factorization.

1001013132033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286705 (or 286702 counting only the distinct ones).

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

Adding to 1001013132033 its reverse (3302313101001), we get a palindrome (4303326233034).

The spelling of 1001013132033 in words is "one trillion, one billion, thirteen million, one hundred thirty-two thousand, thirty-three".