10033000007 has 12 divisors (see below), whose sum is σ = 10698498096. Its totient is φ = 9406848000.

The previous prime is 10032999979. The next prime is 10033000009. The reversal of 10033000007 is 70000033001.

It is a happy number.

It is not a de Polignac number, because 10033000007 - 2⁶ = 10032999943 is a prime.

It is a super-2 number, since 2×10033000007² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032999955 and 10033000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033000009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10007 + ... + 142007.

It is an arithmetic number, because the mean of its divisors is an integer number (891541508).

Almost surely, 2^10033000007 is an apocalyptic number.

10033000007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10033000007 is a deficient number, since it is larger than the sum of its proper divisors (665498089).

10033000007 is a wasteful number, since it uses less digits than its factorization.

10033000007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132298 (or 132281 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 14.

Adding to 10033000007 its reverse (70000033001), we get a palindrome (80033033008).

The spelling of 10033000007 in words is "ten billion, thirty-three million, seven", and thus it is an aban number and an uban number.