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313312010101 is a prime number
BaseRepresentation
bin1001000111100101101…
…10011101111101110101
31002221201020211012121021
410203302312131331311
520113130333310401
6355533351421141
731431110100406
oct4436266357565
91087636735537
10313312010101
11110969509542
125087b6847b1
1323711a44b6c
14112430c99ad
15823b1e32a1
hex48f2d9df75

313312010101 has 2 divisors, whose sum is σ = 313312010102. Its totient is φ = 313312010100.

The previous prime is 313312010087. The next prime is 313312010111. The reversal of 313312010101 is 101010213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 266461407601 + 46850602500 = 516199^2 + 216450^2 .

It is a cyclic number.

It is not a de Polignac number, because 313312010101 - 215 = 313311977333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313312010111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656005050 + 156656005051.

It is an arithmetic number, because the mean of its divisors is an integer number (156656005051).

Almost surely, 2313312010101 is an apocalyptic number.

It is an amenable number.

313312010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313312010101 is an equidigital number, since it uses as much as digits as its factorization.

313312010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 313312010101 its reverse (101010213313), we get a palindrome (414322223414).

The spelling of 313312010101 in words is "three hundred thirteen billion, three hundred twelve million, ten thousand, one hundred one".