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313213201331 is a prime number
BaseRepresentation
bin1001000111011001111…
…01100010101110110011
31002221110100220012110012
410203230331202232303
520112430034420311
6355515501525135
731425500166242
oct4435475425663
91087410805405
10313213201331
11110918760aa8
12508525737ab
13236c742a634
1411233d28959
1582326c678b
hex48ecf62bb3

313213201331 has 2 divisors, whose sum is σ = 313213201332. Its totient is φ = 313213201330.

The previous prime is 313213201297. The next prime is 313213201397. The reversal of 313213201331 is 133102312313.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313213201331 is a prime.

It is a super-2 number, since 2×3132132013312 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 313213201297 and 313213201306.

It is not a weakly prime, because it can be changed into another prime (313213200331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156606600665 + 156606600666.

It is an arithmetic number, because the mean of its divisors is an integer number (156606600666).

Almost surely, 2313213201331 is an apocalyptic number.

313213201331 is a deficient number, since it is larger than the sum of its proper divisors (1).

313213201331 is an equidigital number, since it uses as much as digits as its factorization.

313213201331 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 313213201331 its reverse (133102312313), we get a palindrome (446315513644).

The spelling of 313213201331 in words is "three hundred thirteen billion, two hundred thirteen million, two hundred one thousand, three hundred thirty-one".