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133121011331 = 7111728844303
BaseRepresentation
bin111101111111010100…
…0010110111010000011
3110201121102200001022002
41323332220112322003
54140112434330311
6141053245134215
712421601632520
oct1737650267203
9421542601262
10133121011331
1151502382140
1221971b5a36b
13c7266783b9
14662bbb2147
1536e1d5c93b
hex1efea16e83

133121011331 has 8 divisors (see below), whose sum is σ = 165969053184. Its totient is φ = 103730658120.

The previous prime is 133121011279. The next prime is 133121011351. The reversal of 133121011331 is 133110121331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133121011331 - 218 = 133120749187 is a prime.

It is a super-3 number, since 3×1331210113313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (133121011351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864422075 + ... + 864422228.

It is an arithmetic number, because the mean of its divisors is an integer number (20746131648).

Almost surely, 2133121011331 is an apocalyptic number.

133121011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133121011331 is a deficient number, since it is larger than the sum of its proper divisors (32848041853).

133121011331 is a wasteful number, since it uses less digits than its factorization.

133121011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728844321.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 133121011331 its reverse (133110121331), we get a palindrome (266231132662).

Subtracting from 133121011331 its reverse (133110121331), we obtain a square (10890000 = 33002).

The spelling of 133121011331 in words is "one hundred thirty-three billion, one hundred twenty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 7 11 77 1728844303 12101910121 19017287333 133121011331