33130211203133 has 6 divisors (see below), whose sum is σ = 36415851983742. Its totient is φ = 30118373820920.

The previous prime is 33130211203109. The next prime is 33130211203157.

33130211203133 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (33130211203109) and next prime (33130211203157).

It can be written as a sum of positive squares in only one way, i.e., 33130177597924 + 33605209 = 5755882^2 + 5797^2 .

It is not a de Polignac number, because 33130211203133 - 2¹⁴ = 33130211186749 is a prime.

It is a super-2 number, since 2×33130211203133² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130211206133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136901699066 + ... + 136901699307.

It is an arithmetic number, because the mean of its divisors is an integer number (6069308663957).

Almost surely, 2^{33130211203133} is an apocalyptic number.

It is an amenable number.

33130211203133 is a deficient number, since it is larger than the sum of its proper divisors (3285640780609).

33130211203133 is a wasteful number, since it uses less digits than its factorization.

33130211203133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273803398395 (or 273803398384 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 3313021 and 1203133, that added together give a palindrome (4516154).

The spelling of 33130211203133 in words is "thirty-three trillion, one hundred thirty billion, two hundred eleven million, two hundred three thousand, one hundred thirty-three".