33102144120133 has 32 divisors (see below), whose sum is σ = 36594531578880. Its totient is φ = 29691774456960.

The previous prime is 33102144120121. The next prime is 33102144120179.

33102144120133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33102144120133 - 2¹³ = 33102144111941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33102144123133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896499810 + ... + 896536732.

It is an arithmetic number, because the mean of its divisors is an integer number (1143579111840).

Almost surely, 2^{33102144120133} is an apocalyptic number.

It is an amenable number.

33102144120133 is a deficient number, since it is larger than the sum of its proper divisors (3492387458747).

33102144120133 is a wasteful number, since it uses less digits than its factorization.

33102144120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38937.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 3310214 and 4120133, that added together give a palindrome (7430347).

The spelling of 33102144120133 in words is "thirty-three trillion, one hundred two billion, one hundred forty-four million, one hundred twenty thousand, one hundred thirty-three".