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313132322131 is a prime number
BaseRepresentation
bin1001000111010000010…
…01000000110101010011
31002221020201201010001021
410203220021000311103
520112243333302011
6355503452220311
731423465551646
oct4435011006523
91087221633037
10313132322131
1111088703a292
125082b46a697
13236b3750015
14112272b3a5d
15822a54c471
hex48e8240d53

313132322131 has 2 divisors, whose sum is σ = 313132322132. Its totient is φ = 313132322130.

The previous prime is 313132322123. The next prime is 313132322213. The reversal of 313132322131 is 131223231313.

It is a weak prime.

It is an emirp because it is prime and its reverse (131223231313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313132322131 - 23 = 313132322123 is a prime.

It is a super-2 number, since 2×3131323221312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313132322096 and 313132322105.

It is not a weakly prime, because it can be changed into another prime (313132326131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156566161065 + 156566161066.

It is an arithmetic number, because the mean of its divisors is an integer number (156566161066).

Almost surely, 2313132322131 is an apocalyptic number.

313132322131 is a deficient number, since it is larger than the sum of its proper divisors (1).

313132322131 is an equidigital number, since it uses as much as digits as its factorization.

313132322131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

Adding to 313132322131 its reverse (131223231313), we get a palindrome (444355553444).

The spelling of 313132322131 in words is "three hundred thirteen billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred thirty-one".