1001114933 has 36 divisors (see below), whose sum is σ = 1285391268. Its totient is φ = 776805120.

The previous prime is 1001114923. The next prime is 1001114941. The reversal of 1001114933 is 3394111001.

It can be written as a sum of positive squares in 6 ways, for example, as 49885969 + 951228964 = 7063^2 + 30842^2 .

It is not a de Polignac number, because 1001114933 - 2⁶ = 1001114869 is a prime.

It is a super-2 number, since 2×1001114933² = 2004462218151188978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001114899 and 1001114908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001114903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437753 + ... + 440033.

It is an arithmetic number, because the mean of its divisors is an integer number (35705313).

Almost surely, 2^1001114933 is an apocalyptic number.

1001114933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001114933 is a deficient number, since it is larger than the sum of its proper divisors (284276335).

1001114933 is a wasteful number, since it uses less digits than its factorization.

1001114933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1001114933 is about 31640.4003293258. The cubic root of 1001114933 is about 1000.3715062993.

Adding to 1001114933 its reverse (3394111001), we get a palindrome (4395225934).

The spelling of 1001114933 in words is "one billion, one million, one hundred fourteen thousand, nine hundred thirty-three".