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133013323331 = 722779799847
BaseRepresentation
bin111101111100000110…
…1100011111001000011
3110201022221000221010122
41323320031203321003
54134402402321311
6141034441050455
712416123410400
oct1737015437103
9421287027118
10133013323331
115145760a599
1221941a86a2b
13c70a2724a5
14661b77d2a7
1536d768a0db
hex1ef8363e43

133013323331 has 12 divisors (see below), whose sum is σ = 155288391408. Its totient is φ = 113599814832.

The previous prime is 133013323321. The next prime is 133013323369. The reversal of 133013323331 is 133323310331.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-133013323331 is a prime.

It is a super-3 number, since 3×1330133233313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133013323331.

It is not an unprimeable number, because it can be changed into a prime (133013323321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4886351 + ... + 4913496.

It is an arithmetic number, because the mean of its divisors is an integer number (12940699284).

Almost surely, 2133013323331 is an apocalyptic number.

133013323331 is a deficient number, since it is larger than the sum of its proper divisors (22275068077).

133013323331 is an equidigital number, since it uses as much as digits as its factorization.

133013323331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800138 (or 9800131 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 133013323331 its reverse (133323310331), we get a palindrome (266336633662).

The spelling of 133013323331 in words is "one hundred thirty-three billion, thirteen million, three hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 49 277 1939 13573 9799847 68598929 480192503 2714557619 19001903333 133013323331