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133021013121 = 3214780112569
BaseRepresentation
bin111101111100010101…
…0111001010010000001
3110201100110111121112200
41323320222321102001
54134411334404441
6141035313543413
712416245645533
oct1737052712201
9421313447480
10133021013121
1151460991a97
1221944574b69
13c70ba35669
14661c7c1853
1536d81a87b6
hex1ef8ab9481

133021013121 has 6 divisors (see below), whose sum is σ = 192141463410. Its totient is φ = 88680675408.

The previous prime is 133021013117. The next prime is 133021013189. The reversal of 133021013121 is 121310120331.

133021013121 is a `hidden beast` number, since 1 + 330 + 21 + 0 + 1 + 312 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123696407025 + 9324606096 = 351705^2 + 96564^2 .

It is not a de Polignac number, because 133021013121 - 22 = 133021013117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133021013094 and 133021013103.

It is not an unprimeable number, because it can be changed into a prime (133021013821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7390056276 + ... + 7390056293.

It is an arithmetic number, because the mean of its divisors is an integer number (32023577235).

Almost surely, 2133021013121 is an apocalyptic number.

It is an amenable number.

133021013121 is a deficient number, since it is larger than the sum of its proper divisors (59120450289).

133021013121 is a wasteful number, since it uses less digits than its factorization.

133021013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780112575 (or 14780112572 counting only the distinct ones).

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

Adding to 133021013121 its reverse (121310120331), we get a palindrome (254331133452).

The spelling of 133021013121 in words is "one hundred thirty-three billion, twenty-one million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 14780112569 44340337707 133021013121