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12001011100213 is a prime number
BaseRepresentation
bin1010111010100011010000…
…0000001110101000110101
31120111021201002122022112111
42232220310000032220311
53033111032320201323
641305104405251021
72346021146144362
oct256506400165065
946437632568474
1012001011100213
11390766699a413
121419a62403a71
136908c9015335
142d6bcddb9469
1515c291a95c0d
hexaea3400ea35

12001011100213 has 2 divisors, whose sum is σ = 12001011100214. Its totient is φ = 12001011100212.

The previous prime is 12001011100193. The next prime is 12001011100223. The reversal of 12001011100213 is 31200111010021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11564746887204 + 436264213009 = 3400698^2 + 660503^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001011100213 - 229 = 12000474229301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001011100193 and 12001011100202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001011100223) 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 as a sum of consecutive naturals, namely, 6000505550106 + 6000505550107.

It is an arithmetic number, because the mean of its divisors is an integer number (6000505550107).

Almost surely, 212001011100213 is an apocalyptic number.

It is an amenable number.

12001011100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001011100213 is an equidigital number, since it uses as much as digits as its factorization.

12001011100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12001011100213 its reverse (31200111010021), we get a palindrome (43201122110234).

The spelling of 12001011100213 in words is "twelve trillion, one billion, eleven million, one hundred thousand, two hundred thirteen".