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12313021013 is a prime number
BaseRepresentation
bin10110111011110100…
…11100101001010101
31011210010010021110022
423131322130221111
5200204113133023
65353450434525
7614061644306
oct133572345125
934703107408
1012313021013
115249419a27
122477732a45
131212c71267
1484b4207ad
154c0ea27c8
hex2dde9ca55

12313021013 has 2 divisors, whose sum is σ = 12313021014. Its totient is φ = 12313021012.

The previous prime is 12313020971. The next prime is 12313021051. The reversal of 12313021013 is 31012031321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7056336004 + 5256685009 = 84002^2 + 72503^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313021013 - 26 = 12313020949 is a prime.

It is a super-2 number, since 2×123130210132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313020982 and 12313021000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12313021073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156510506 + 6156510507.

It is an arithmetic number, because the mean of its divisors is an integer number (6156510507).

Almost surely, 212313021013 is an apocalyptic number.

It is an amenable number.

12313021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313021013 is an equidigital number, since it uses as much as digits as its factorization.

12313021013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12313021013 its reverse (31012031321), we get a palindrome (43325052334).

The spelling of 12313021013 in words is "twelve billion, three hundred thirteen million, twenty-one thousand, thirteen".