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121111012013 is a prime number
BaseRepresentation
bin111000011001011000…
…1110110001010101101
3102120121102201212110112
41300302301312022231
53441013404341023
6131345421145405
711515146421325
oct1606261661255
9376542655415
10121111012013
11473aa010972
121b57b9bb265
13b561422424
145c0cb10285
15323c7b4478
hex1c32c762ad

121111012013 has 2 divisors, whose sum is σ = 121111012014. Its totient is φ = 121111012012.

The previous prime is 121111011929. The next prime is 121111012063. The reversal of 121111012013 is 310210111121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103479952489 + 17631059524 = 321683^2 + 132782^2 .

It is a cyclic number.

It is not a de Polignac number, because 121111012013 - 224 = 121094234797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121111012063) 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, 60555506006 + 60555506007.

It is an arithmetic number, because the mean of its divisors is an integer number (60555506007).

Almost surely, 2121111012013 is an apocalyptic number.

It is an amenable number.

121111012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121111012013 is an equidigital number, since it uses as much as digits as its factorization.

121111012013 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 14.

Adding to 121111012013 its reverse (310210111121), we get a palindrome (431321123134).

The spelling of 121111012013 in words is "one hundred twenty-one billion, one hundred eleven million, twelve thousand, thirteen".