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121320312013 is a prime number
BaseRepresentation
bin111000011111101000…
…0010000110011001101
3102121011000120102002101
41300333100100303031
53441430444441023
6131422255155101
711523300431365
oct1607720206315
9377130512071
10121320312013
11474a717607a
121b619b15a91
13b5958b4794
145c2c8339a5
153250d591ad
hex1c3f410ccd

121320312013 has 2 divisors, whose sum is σ = 121320312014. Its totient is φ = 121320312012.

The previous prime is 121320311989. The next prime is 121320312049. The reversal of 121320312013 is 310213023121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118378659844 + 2941652169 = 344062^2 + 54237^2 .

It is a cyclic number.

It is not a de Polignac number, because 121320312013 - 29 = 121320311501 is a prime.

It is a super-2 number, since 2×1213203120132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121320312053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60660156006 + 60660156007.

It is an arithmetic number, because the mean of its divisors is an integer number (60660156007).

Almost surely, 2121320312013 is an apocalyptic number.

It is an amenable number.

121320312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121320312013 is an equidigital number, since it uses as much as digits as its factorization.

121320312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 121320312013 its reverse (310213023121), we get a palindrome (431533335134).

The spelling of 121320312013 in words is "one hundred twenty-one billion, three hundred twenty million, three hundred twelve thousand, thirteen".