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133013220123133 = 7213146214484267
BaseRepresentation
bin11110001111100110001101…
…101111000110000111111101
3122102221221101000021101212001
4132033212031233012013331
5114413242033322420013
61150521232454342301
740005613410151600
oct3617461557060775
9572857330241761
10133013220123133
11394226541260a9
1212b02a2a35a991
13592b128c6854c
1424bbc34b60337
151059ea4720ddd
hex78f98dbc61fd

133013220123133 has 24 divisors (see below), whose sum is σ = 155944581100704. Its totient is φ = 113116506703200.

The previous prime is 133013220123073. The next prime is 133013220123137. The reversal of 133013220123133 is 331321022310331.

It is a happy number.

It is not a de Polignac number, because 133013220123133 - 241 = 130814196867581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013220123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27420066 + ... + 31904332.

It is an arithmetic number, because the mean of its divisors is an integer number (6497690879196).

Almost surely, 2133013220123133 is an apocalyptic number.

It is an amenable number.

133013220123133 is a deficient number, since it is larger than the sum of its proper divisors (22931360977571).

133013220123133 is a wasteful number, since it uses less digits than its factorization.

133013220123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489033 (or 4489026 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 133013220123133 its reverse (331321022310331), we get a palindrome (464334242433464).

The spelling of 133013220123133 in words is "one hundred thirty-three trillion, thirteen billion, two hundred twenty million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 7 49 131 917 4621 6419 32347 226429 605351 4237457 4484267 29662199 31389869 219729083 587438977 4112072839 20721797807 28784509873 145052584649 1015368092543 2714555512717 19001888589019 133013220123133