1002112033 has 24 divisors (see below), whose sum is σ = 1140678528. Its totient is φ = 878859072.

The previous prime is 1002112019. The next prime is 1002112043. The reversal of 1002112033 is 3302112001.

It is not a de Polignac number, because 1002112033 - 2²¹ = 1000014881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002112043) 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, 267016 + ... + 270742.

It is an arithmetic number, because the mean of its divisors is an integer number (47528272).

Almost surely, 2^1002112033 is an apocalyptic number.

1002112033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002112033 is a deficient number, since it is larger than the sum of its proper divisors (138566495).

1002112033 is a wasteful number, since it uses less digits than its factorization.

1002112033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1002112033 is about 31656.1531617472. The cubic root of 1002112033 is about 1000.7035159492.

Adding to 1002112033 its reverse (3302112001), we get a palindrome (4304224034).

The spelling of 1002112033 in words is "one billion, two million, one hundred twelve thousand, thirty-three".