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313123210133 is a prime number
BaseRepresentation
bin1001000111001111001…
…10010000001110010101
31002221020002120011201212
410203213212100032111
520112234020211013
6355502525031205
731423325241236
oct4434746201625
91087202504655
10313123210133
11110881986308
12508283b5505
13236b18ac6c6
1411225dc108d
15822984c6a8
hex48e7990395

313123210133 has 2 divisors, whose sum is σ = 313123210134. Its totient is φ = 313123210132.

The previous prime is 313123210091. The next prime is 313123210199. The reversal of 313123210133 is 331012321313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303642877444 + 9480332689 = 551038^2 + 97367^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313123210133 is a prime.

It is a super-2 number, since 2×3131232101332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313123210099 and 313123210108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313123210033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561605066 + 156561605067.

It is an arithmetic number, because the mean of its divisors is an integer number (156561605067).

Almost surely, 2313123210133 is an apocalyptic number.

It is an amenable number.

313123210133 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123210133 is an equidigital number, since it uses as much as digits as its factorization.

313123210133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 313123210133 its reverse (331012321313), we get a palindrome (644135531446).

The spelling of 313123210133 in words is "three hundred thirteen billion, one hundred twenty-three million, two hundred ten thousand, one hundred thirty-three".