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313312331021 is a prime number
BaseRepresentation
bin1001000111100101101…
…11101100010100001101
31002221201021102111211012
410203302313230110031
520113130424043041
6355533402335005
731431112605134
oct4436267542415
91087637374735
10313312331021
11110969708668
125087b7ba465
1323711b27c61
141124317091b
15823b2583eb
hex48f2dec50d

313312331021 has 2 divisors, whose sum is σ = 313312331022. Its totient is φ = 313312331020.

The previous prime is 313312330999. The next prime is 313312331039. The reversal of 313312331021 is 120133213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227539494121 + 85772836900 = 477011^2 + 292870^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313312331021 is a prime.

It is a super-3 number, since 3×3133123310213 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313312331041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656165510 + 156656165511.

It is an arithmetic number, because the mean of its divisors is an integer number (156656165511).

Almost surely, 2313312331021 is an apocalyptic number.

It is an amenable number.

313312331021 is a deficient number, since it is larger than the sum of its proper divisors (1).

313312331021 is an equidigital number, since it uses as much as digits as its factorization.

313312331021 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 313312331021 its reverse (120133213313), we get a palindrome (433445544334).

The spelling of 313312331021 in words is "three hundred thirteen billion, three hundred twelve million, three hundred thirty-one thousand, twenty-one".