10002133011 has 12 divisors (see below), whose sum is σ = 14440950168. Its totient is φ = 6155158464.

The previous prime is 10002132997. The next prime is 10002133021. The reversal of 10002133011 is 11033120001.

It is not a de Polignac number, because 10002133011 - 2⁵ = 10002132979 is a prime.

It is a super-2 number, since 2×10002133011² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10002133021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9863530 + ... + 9864543.

It is an arithmetic number, because the mean of its divisors is an integer number (1203412514).

Almost surely, 2^10002133011 is an apocalyptic number.

10002133011 is a deficient number, since it is larger than the sum of its proper divisors (4438817157).

10002133011 is a wasteful number, since it uses less digits than its factorization.

10002133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19728102 (or 19728089 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10002133011 its reverse (11033120001), we get a palindrome (21035253012).

The spelling of 10002133011 in words is "ten billion, two million, one hundred thirty-three thousand, eleven".