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313311212993 is a prime number
BaseRepresentation
bin1001000111100101100…
…11011011010111000001
31002221201012022201011202
410203302303123113001
520113130132303433
6355533322350545
731431100240442
oct4436263332701
91087635281152
10313311212993
11110969014679
125087b35b455
13237118260bc
1411242d5d2c9
15823b0d6ee8
hex48f2cdb5c1

313311212993 has 2 divisors, whose sum is σ = 313311212994. Its totient is φ = 313311212992.

The previous prime is 313311212989. The next prime is 313311213049. The reversal of 313311212993 is 399212113313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210049889344 + 103261323649 = 458312^2 + 321343^2 .

It is a cyclic number.

It is not a de Polignac number, because 313311212993 - 22 = 313311212989 is a prime.

It is not a weakly prime, because it can be changed into another prime (313311212693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156655606496 + 156655606497.

It is an arithmetic number, because the mean of its divisors is an integer number (156655606497).

Almost surely, 2313311212993 is an apocalyptic number.

It is an amenable number.

313311212993 is a deficient number, since it is larger than the sum of its proper divisors (1).

313311212993 is an equidigital number, since it uses as much as digits as its factorization.

313311212993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26244, while the sum is 38.

The spelling of 313311212993 in words is "three hundred thirteen billion, three hundred eleven million, two hundred twelve thousand, nine hundred ninety-three".