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311331012131 is a prime number
BaseRepresentation
bin1001000011111001100…
…01100011111000100011
31002202121012020002021002
410201330301203320203
520100101214342011
6355005024022215
731331033640206
oct4417461437043
91082535202232
10311331012131
11110042270437
125040816196b
13234874c1909
14110d5d7993d
158172335c3b
hex487cc63e23

311331012131 has 2 divisors, whose sum is σ = 311331012132. Its totient is φ = 311331012130.

The previous prime is 311331012121. The next prime is 311331012137. The reversal of 311331012131 is 131210133113.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 311331012131 - 226 = 311263903267 is a prime.

It is a super-2 number, since 2×3113310121312 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311331012137) 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, 155665506065 + 155665506066.

It is an arithmetic number, because the mean of its divisors is an integer number (155665506066).

Almost surely, 2311331012131 is an apocalyptic number.

311331012131 is a deficient number, since it is larger than the sum of its proper divisors (1).

311331012131 is an equidigital number, since it uses as much as digits as its factorization.

311331012131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 311331012131 its reverse (131210133113), we get a palindrome (442541145244).

The spelling of 311331012131 in words is "three hundred eleven billion, three hundred thirty-one million, twelve thousand, one hundred thirty-one".