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311014213011113 is a prime number
BaseRepresentation
bin100011010110111011010001…
…1101011111100011010101001
31111210012200001020220001001112
41012231312203223330122221
5311231124102012323423
63021245542414000105
7122340015063366533
oct10655664353743251
91453180036801045
10311014213011113
119010a429137007
122aa7077a7a6035
131047068c2c9301
1456b324d892853
1525e52d7bc5a78
hex11adda3afc6a9

311014213011113 has 2 divisors, whose sum is σ = 311014213011114. Its totient is φ = 311014213011112.

The previous prime is 311014213011101. The next prime is 311014213011127. The reversal of 311014213011113 is 311110312410113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187577046799129 + 123437166211984 = 13695877^2 + 11110228^2 .

It is an emirp because it is prime and its reverse (311110312410113) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311014213011113 is a prime.

It is a super-2 number, since 2×3110142130111132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311014213011133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155507106505556 + 155507106505557.

It is an arithmetic number, because the mean of its divisors is an integer number (155507106505557).

Almost surely, 2311014213011113 is an apocalyptic number.

It is an amenable number.

311014213011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311014213011113 is an equidigital number, since it uses as much as digits as its factorization.

311014213011113 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 23.

Adding to 311014213011113 its reverse (311110312410113), we get a palindrome (622124525421226).

The spelling of 311014213011113 in words is "three hundred eleven trillion, fourteen billion, two hundred thirteen million, eleven thousand, one hundred thirteen".