10033011012133 has 2 divisors, whose sum is σ = 10033011012134. Its totient is φ = 10033011012132.

The previous prime is 10033011011987. The next prime is 10033011012161. The reversal of 10033011012133 is 33121011033001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9609212616129 + 423798396004 = 3099873^2 + 650998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10033011012133 is a prime.

It is a super-2 number, since 2×10033011012133² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10033011012133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033011012163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016505506066 + 5016505506067.

It is an arithmetic number, because the mean of its divisors is an integer number (5016505506067).

Almost surely, 2^{10033011012133} is an apocalyptic number.

It is an amenable number.

10033011012133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033011012133 is an equidigital number, since it uses as much as digits as its factorization.

10033011012133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10033011012133 its reverse (33121011033001), we get a palindrome (43154022045134).

The spelling of 10033011012133 in words is "ten trillion, thirty-three billion, eleven million, twelve thousand, one hundred thirty-three".