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313323031121 is a prime number
BaseRepresentation
bin1001000111100111000…
…00100000101001010001
31002221202000120010121012
410203303200200221101
520113141143443441
6355534423540305
731431302551562
oct4436340405121
91087660503535
10313323031121
11110974756821
12508832ba695
1323714103389
1411244758169
15823c16d9eb
hex48f3820a51

313323031121 has 2 divisors, whose sum is σ = 313323031122. Its totient is φ = 313323031120.

The previous prime is 313323031103. The next prime is 313323031127. The reversal of 313323031121 is 121130323313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299531817025 + 13791214096 = 547295^2 + 117436^2 .

It is a cyclic number.

It is not a de Polignac number, because 313323031121 - 26 = 313323031057 is a prime.

It is a super-2 number, since 2×3133230311212 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313323031127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156661515560 + 156661515561.

It is an arithmetic number, because the mean of its divisors is an integer number (156661515561).

Almost surely, 2313323031121 is an apocalyptic number.

It is an amenable number.

313323031121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313323031121 is an equidigital number, since it uses as much as digits as its factorization.

313323031121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 313323031121 its reverse (121130323313), we get a palindrome (434453354434).

The spelling of 313323031121 in words is "three hundred thirteen billion, three hundred twenty-three million, thirty-one thousand, one hundred twenty-one".