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332101113111133 is a prime number
BaseRepresentation
bin100101110000010110101000…
…0111000000110001001011101
31121112212120000120122102222021
41023200231100320012021131
5322012121034424024013
63134153051205220141
7126644341114013662
oct11340552070061135
91545776016572867
10332101113111133
11968aa322547313
12312b7506a01651
13113400013a94b2
145c01acb485a69
15285daa3425a8d
hex12e0b50e0625d

332101113111133 has 2 divisors, whose sum is σ = 332101113111134. Its totient is φ = 332101113111132.

The previous prime is 332101113111077. The next prime is 332101113111203. The reversal of 332101113111133 is 331111311101233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243735886633849 + 88365226477284 = 15612043^2 + 9400278^2 .

It is a cyclic number.

It is not a de Polignac number, because 332101113111133 - 241 = 329902089855581 is a prime.

It is a super-2 number, since 2×3321011131111332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332101113111098 and 332101113111107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332101113115133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166050556555566 + 166050556555567.

It is an arithmetic number, because the mean of its divisors is an integer number (166050556555567).

Almost surely, 2332101113111133 is an apocalyptic number.

It is an amenable number.

332101113111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

332101113111133 is an equidigital number, since it uses as much as digits as its factorization.

332101113111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 332101113111133 its reverse (331111311101233), we get a palindrome (663212424212366).

The spelling of 332101113111133 in words is "three hundred thirty-two trillion, one hundred one billion, one hundred thirteen million, one hundred eleven thousand, one hundred thirty-three".