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131023113313 is a prime number
BaseRepresentation
bin111101000000110010…
…1100000110001100001
3110112012020002210020111
41322001211200301201
54121313404111223
6140105144011321
712315606042001
oct1720145406141
9415166083214
10131023113313
115062614a324
1221487460b41
13c480b45221
1464ad312001
15361caad30d
hex1e81960c61

131023113313 has 2 divisors, whose sum is σ = 131023113314. Its totient is φ = 131023113312.

The previous prime is 131023113301. The next prime is 131023113349. The reversal of 131023113313 is 313311320131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108038430864 + 22984682449 = 328692^2 + 151607^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131023113313 is a prime.

It is not a weakly prime, because it can be changed into another prime (131023113383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65511556656 + 65511556657.

It is an arithmetic number, because the mean of its divisors is an integer number (65511556657).

Almost surely, 2131023113313 is an apocalyptic number.

It is an amenable number.

131023113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131023113313 is an equidigital number, since it uses as much as digits as its factorization.

131023113313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131023113313 its reverse (313311320131), we get a palindrome (444334433444).

The spelling of 131023113313 in words is "one hundred thirty-one billion, twenty-three million, one hundred thirteen thousand, three hundred thirteen".