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133011012321 = 32118591564081
BaseRepresentation
bin111101111100000010…
…0101111101011100001
3110201022202200112000200
41323320010233223201
54134401304343241
6141034315335413
712416064643635
oct1737004575341
9421282615020
10133011012321
1151456281270
1221941151569
13c709943625
14661b33adc5
1536d73804b6
hex1ef812fae1

133011012321 has 24 divisors (see below), whose sum is σ = 209837241120. Its totient is φ = 80518838400.

The previous prime is 133011012317. The next prime is 133011012331. The reversal of 133011012321 is 123210110331.

133011012321 is a `hidden beast` number, since 1 + 330 + 1 + 1 + 0 + 12 + 321 = 666.

It is not a de Polignac number, because 133011012321 - 22 = 133011012317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133011012294 and 133011012303.

It is not an unprimeable number, because it can be changed into a prime (133011012301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697000 + ... + 867081.

It is an arithmetic number, because the mean of its divisors is an integer number (8743218380).

Almost surely, 2133011012321 is an apocalyptic number.

133011012321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133011012321 is a deficient number, since it is larger than the sum of its proper divisors (76826228799).

133011012321 is a wasteful number, since it uses less digits than its factorization.

133011012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564957 (or 1564954 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133011012321 its reverse (123210110331), we get a palindrome (256221122652).

It can be divided in two parts, 1330110 and 12321, that added together give a palindrome (1342431).

The spelling of 133011012321 in words is "one hundred thirty-three billion, eleven million, twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 859 2577 7731 9449 28347 85041 1564081 4692243 14076729 17204891 51614673 154844019 1343545579 4030636737 12091910211 14779001369 44337004107 133011012321