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133050133013 = 723329815653
BaseRepresentation
bin111101111101001100…
…1111110101000010101
3110201102111022001112012
41323322121332220111
54134441313224023
6141042234034005
712420051320300
oct1737231765025
9421374261465
10133050133013
1151476371216
1221952278905
13c714a8cb75
146622601b37
1536daa0b978
hex1efa67ea15

133050133013 has 12 divisors (see below), whose sum is σ = 154819285740. Its totient is φ = 114008573952.

The previous prime is 133050132997. The next prime is 133050133019. The reversal of 133050133013 is 310331050331.

It can be written as a sum of positive squares in 2 ways, for example, as 31299978724 + 101750154289 = 176918^2 + 318983^2 .

It is not a de Polignac number, because 133050133013 - 24 = 133050132997 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133050133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133050133019) 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 11 ways as a sum of consecutive naturals, for example, 244706 + ... + 570947.

It is an arithmetic number, because the mean of its divisors is an integer number (12901607145).

Almost surely, 2133050133013 is an apocalyptic number.

It is an amenable number.

133050133013 is a deficient number, since it is larger than the sum of its proper divisors (21769152727).

133050133013 is an equidigital number, since it uses as much as digits as its factorization.

133050133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818996 (or 818989 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 23.

Adding to 133050133013 its reverse (310331050331), we get a palindrome (443381183344).

The spelling of 133050133013 in words is "one hundred thirty-three billion, fifty million, one hundred thirty-three thousand, thirteen".

Divisors: 1 7 49 3329 23303 163121 815653 5709571 39966997 2715308837 19007161859 133050133013