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313131127 is a prime number
BaseRepresentation
bin10010101010100…
…000000001110111
3210211012201011011
4102222200001313
51120130144002
651023253051
710521366511
oct2252400167
9724181134
10313131127
11150833061
1288a4a187
134cb478ba
142d830bb1
151c7548d7
hex12aa0077

313131127 has 2 divisors, whose sum is σ = 313131128. Its totient is φ = 313131126.

The previous prime is 313131107. The next prime is 313131139. The reversal of 313131127 is 721131313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 313131127 - 211 = 313129079 is a prime.

It is a super-2 number, since 2×3131311272 = 196102205392580258, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 313131098 and 313131107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313131107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565563 + 156565564.

It is an arithmetic number, because the mean of its divisors is an integer number (156565564).

Almost surely, 2313131127 is an apocalyptic number.

313131127 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131127 is an equidigital number, since it uses as much as digits as its factorization.

313131127 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 22.

The square root of 313131127 is about 17695.5114930312. The cubic root of 313131127 is about 679.0609348816.

The spelling of 313131127 in words is "three hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-seven".